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Finding the Fourth Proportional to 587,019.03, 811,716.92 and 465,950.13

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Solution

The fourth proportional to 587,019.03, 811,716.92 and 465,950.13 is: 644,305.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,019.03 : 811,716.92 = 465,950.13 : x
  2. Step 2: Convert to fraction form
    587,019.03/811,716.92 = 465,950.13/x
  3. Step 3: Cross multiply
    587,019.03x = 811,716.92 × 465,950.13
  4. Step 4: Simplify right side
    587,019.03x = 378,219,604,397.20
  5. Step 5: Solve for x
    x = 378,219,604,397.20/587,019.03
  6. Step 6: Final answer
    x = 644,305.53

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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.