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Finding the Fourth Proportional to 424,509.12, 585,822.51 and 254,743.38

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Solution

The fourth proportional to 424,509.12, 585,822.51 and 254,743.38 is: 351,545.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,509.12 : 585,822.51 = 254,743.38 : x
  2. Step 2: Convert to fraction form
    424,509.12/585,822.51 = 254,743.38/x
  3. Step 3: Cross multiply
    424,509.12x = 585,822.51 × 254,743.38
  4. Step 4: Simplify right side
    424,509.12x = 149,234,406,277.48
  5. Step 5: Solve for x
    x = 149,234,406,277.48/424,509.12
  6. Step 6: Final answer
    x = 351,545.82

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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.