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Finding the Fourth Proportional to 647,331.90, 970,997.85 and 411,719.10

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Solution

The fourth proportional to 647,331.90, 970,997.85 and 411,719.10 is: 617,578.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,331.90 : 970,997.85 = 411,719.10 : x
  2. Step 2: Convert to fraction form
    647,331.90/970,997.85 = 411,719.10/x
  3. Step 3: Cross multiply
    647,331.90x = 970,997.85 × 411,719.10
  4. Step 4: Simplify right side
    647,331.90x = 399,778,360,903.94
  5. Step 5: Solve for x
    x = 399,778,360,903.94/647,331.90
  6. Step 6: Final answer
    x = 617,578.65

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.