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Finding the Fourth Proportional to 476,437.43, 714,505.59 and 156,536.78

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Solution

The fourth proportional to 476,437.43, 714,505.59 and 156,536.78 is: 234,755.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,437.43 : 714,505.59 = 156,536.78 : x
  2. Step 2: Convert to fraction form
    476,437.43/714,505.59 = 156,536.78/x
  3. Step 3: Cross multiply
    476,437.43x = 714,505.59 × 156,536.78
  4. Step 4: Simplify right side
    476,437.43x = 111,846,400,778.07
  5. Step 5: Solve for x
    x = 111,846,400,778.07/476,437.43
  6. Step 6: Final answer
    x = 234,755.70

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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.