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Finding the Fourth Proportional to 551,402.30, 827,103.45 and 411,434.30

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Solution

The fourth proportional to 551,402.30, 827,103.45 and 411,434.30 is: 617,151.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,402.30 : 827,103.45 = 411,434.30 : x
  2. Step 2: Convert to fraction form
    551,402.30/827,103.45 = 411,434.30/x
  3. Step 3: Cross multiply
    551,402.30x = 827,103.45 × 411,434.30
  4. Step 4: Simplify right side
    551,402.30x = 340,298,728,978.34
  5. Step 5: Solve for x
    x = 340,298,728,978.34/551,402.30
  6. Step 6: Final answer
    x = 617,151.45

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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.