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Finding the Fourth Proportional to 587,019.53, 811,717.61 and 465,950.63

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Solution

The fourth proportional to 587,019.53, 811,717.61 and 465,950.63 is: 644,306.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,019.53 : 811,717.61 = 465,950.63 : x
  2. Step 2: Convert to fraction form
    587,019.53/811,717.61 = 465,950.63/x
  3. Step 3: Cross multiply
    587,019.53x = 811,717.61 × 465,950.63
  4. Step 4: Simplify right side
    587,019.53x = 378,220,331,761.59
  5. Step 5: Solve for x
    x = 378,220,331,761.59/587,019.53
  6. Step 6: Final answer
    x = 644,306.22

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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.