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Finding the Fourth Proportional to 801,778.38, 1,106,471.98 and 457,607.42

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Solution

The fourth proportional to 801,778.38, 1,106,471.98 and 457,607.42 is: 631,508.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    801,778.38 : 1,106,471.98 = 457,607.42 : x
  2. Step 2: Convert to fraction form
    801,778.38/1,106,471.98 = 457,607.42/x
  3. Step 3: Cross multiply
    801,778.38x = 1,106,471.98 × 457,607.42
  4. Step 4: Simplify right side
    801,778.38x = 506,329,788,070.09
  5. Step 5: Solve for x
    x = 506,329,788,070.09/801,778.38
  6. Step 6: Final answer
    x = 631,508.41

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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.