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Finding the Fourth Proportional to 418,861.33, 578,229.40 and 257,854.39

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Solution

The fourth proportional to 418,861.33, 578,229.40 and 257,854.39 is: 355,962.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,861.33 : 578,229.40 = 257,854.39 : x
  2. Step 2: Convert to fraction form
    418,861.33/578,229.40 = 257,854.39/x
  3. Step 3: Cross multiply
    418,861.33x = 578,229.40 × 257,854.39
  4. Step 4: Simplify right side
    418,861.33x = 149,098,989,217.07
  5. Step 5: Solve for x
    x = 149,098,989,217.07/418,861.33
  6. Step 6: Final answer
    x = 355,962.65

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