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Finding the Fourth Proportional to 424,709.13, 586,098.69 and 233,722.52

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Solution

The fourth proportional to 424,709.13, 586,098.69 and 233,722.52 is: 322,537.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,709.13 : 586,098.69 = 233,722.52 : x
  2. Step 2: Convert to fraction form
    424,709.13/586,098.69 = 233,722.52/x
  3. Step 3: Cross multiply
    424,709.13x = 586,098.69 × 233,722.52
  4. Step 4: Simplify right side
    424,709.13x = 136,984,462,501.11
  5. Step 5: Solve for x
    x = 136,984,462,501.11/424,709.13
  6. Step 6: Final answer
    x = 322,537.13

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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.