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Finding the Fourth Proportional to 424,841.76, 586,259.10 and 233,818.38

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Solution

The fourth proportional to 424,841.76, 586,259.10 and 233,818.38 is: 322,656.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,841.76 : 586,259.10 = 233,818.38 : x
  2. Step 2: Convert to fraction form
    424,841.76/586,259.10 = 233,818.38/x
  3. Step 3: Cross multiply
    424,841.76x = 586,259.10 × 233,818.38
  4. Step 4: Simplify right side
    424,841.76x = 137,078,153,022.26
  5. Step 5: Solve for x
    x = 137,078,153,022.26/424,841.76
  6. Step 6: Final answer
    x = 322,656.97

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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.