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Finding the Fourth Proportional to 486,366, 729,552.24 and 153,942

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Solution

The fourth proportional to 486,366, 729,552.24 and 153,942 is: 230,914.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,366 : 729,552.24 = 153,942 : x
  2. Step 2: Convert to fraction form
    486,366/729,552.24 = 153,942/x
  3. Step 3: Cross multiply
    486,366x = 729,552.24 × 153,942
  4. Step 4: Simplify right side
    486,366x = 112,308,730,930.08
  5. Step 5: Solve for x
    x = 112,308,730,930.08/486,366
  6. Step 6: Final answer
    x = 230,914.03

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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.