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Finding the Fourth Proportional to 665,630.70, 998,446.05 and 413,688.30

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Solution

The fourth proportional to 665,630.70, 998,446.05 and 413,688.30 is: 620,532.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,630.70 : 998,446.05 = 413,688.30 : x
  2. Step 2: Convert to fraction form
    665,630.70/998,446.05 = 413,688.30/x
  3. Step 3: Cross multiply
    665,630.70x = 998,446.05 × 413,688.30
  4. Step 4: Simplify right side
    665,630.70x = 413,045,449,066.22
  5. Step 5: Solve for x
    x = 413,045,449,066.22/665,630.70
  6. Step 6: Final answer
    x = 620,532.45

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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.