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Finding the Fourth Proportional to 413,044.38, 618,568.65 and 235,012.05

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Solution

The fourth proportional to 413,044.38, 618,568.65 and 235,012.05 is: 351,950.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,044.38 : 618,568.65 = 235,012.05 : x
  2. Step 2: Convert to fraction form
    413,044.38/618,568.65 = 235,012.05/x
  3. Step 3: Cross multiply
    413,044.38x = 618,568.65 × 235,012.05
  4. Step 4: Simplify right side
    413,044.38x = 145,371,086,502.23
  5. Step 5: Solve for x
    x = 145,371,086,502.23/413,044.38
  6. Step 6: Final answer
    x = 351,950.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.