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Finding the Fourth Proportional to 671,892.96, 927,143.04 and 413,728.80

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Solution

The fourth proportional to 671,892.96, 927,143.04 and 413,728.80 is: 570,903.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,892.96 : 927,143.04 = 413,728.80 : x
  2. Step 2: Convert to fraction form
    671,892.96/927,143.04 = 413,728.80/x
  3. Step 3: Cross multiply
    671,892.96x = 927,143.04 × 413,728.80
  4. Step 4: Simplify right side
    671,892.96x = 383,585,777,367.55
  5. Step 5: Solve for x
    x = 383,585,777,367.55/671,892.96
  6. Step 6: Final answer
    x = 570,903.11

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.