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Finding the Fourth Proportional to 424,134.61, 585,309.90 and 230,543.17

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Solution

The fourth proportional to 424,134.61, 585,309.90 and 230,543.17 is: 318,151.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,134.61 : 585,309.90 = 230,543.17 : x
  2. Step 2: Convert to fraction form
    424,134.61/585,309.90 = 230,543.17/x
  3. Step 3: Cross multiply
    424,134.61x = 585,309.90 × 230,543.17
  4. Step 4: Simplify right side
    424,134.61x = 134,939,199,778.38
  5. Step 5: Solve for x
    x = 134,939,199,778.38/424,134.61
  6. Step 6: Final answer
    x = 318,151.82

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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.