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Finding the Fourth Proportional to 486,022.80, 729,034.20 and 432,878.70

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Solution

The fourth proportional to 486,022.80, 729,034.20 and 432,878.70 is: 649,318.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,022.80 : 729,034.20 = 432,878.70 : x
  2. Step 2: Convert to fraction form
    486,022.80/729,034.20 = 432,878.70/x
  3. Step 3: Cross multiply
    486,022.80x = 729,034.20 × 432,878.70
  4. Step 4: Simplify right side
    486,022.80x = 315,583,376,751.54
  5. Step 5: Solve for x
    x = 315,583,376,751.54/486,022.80
  6. Step 6: Final answer
    x = 649,318.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.