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Finding the Fourth Proportional to 424,710.29, 586,100.29 and 233,723.69

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Solution

The fourth proportional to 424,710.29, 586,100.29 and 233,723.69 is: 322,538.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,710.29 : 586,100.29 = 233,723.69 : x
  2. Step 2: Convert to fraction form
    424,710.29/586,100.29 = 233,723.69/x
  3. Step 3: Cross multiply
    424,710.29x = 586,100.29 × 233,723.69
  4. Step 4: Simplify right side
    424,710.29x = 136,985,519,850.52
  5. Step 5: Solve for x
    x = 136,985,519,850.52/424,710.29
  6. Step 6: Final answer
    x = 322,538.73

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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.