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Finding the Fourth Proportional to 425,125.16, 586,629.31 and 261,755.72

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Solution

The fourth proportional to 425,125.16, 586,629.31 and 261,755.72 is: 361,196.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,125.16 : 586,629.31 = 261,755.72 : x
  2. Step 2: Convert to fraction form
    425,125.16/586,629.31 = 261,755.72/x
  3. Step 3: Cross multiply
    425,125.16x = 586,629.31 × 261,755.72
  4. Step 4: Simplify right side
    425,125.16x = 153,553,576,103.38
  5. Step 5: Solve for x
    x = 153,553,576,103.38/425,125.16
  6. Step 6: Final answer
    x = 361,196.16

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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.