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Finding the Fourth Proportional to 498,352.65, 687,792.38 and 283,451.22

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Solution

The fourth proportional to 498,352.65, 687,792.38 and 283,451.22 is: 391,200.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,352.65 : 687,792.38 = 283,451.22 : x
  2. Step 2: Convert to fraction form
    498,352.65/687,792.38 = 283,451.22/x
  3. Step 3: Cross multiply
    498,352.65x = 687,792.38 × 283,451.22
  4. Step 4: Simplify right side
    498,352.65x = 194,955,587,800.45
  5. Step 5: Solve for x
    x = 194,955,587,800.45/498,352.65
  6. Step 6: Final answer
    x = 391,200.06

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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.