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Finding the Fourth Proportional to 457,156.71, 685,780.17 and 157,597.85

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Solution

The fourth proportional to 457,156.71, 685,780.17 and 157,597.85 is: 236,412.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,156.71 : 685,780.17 = 157,597.85 : x
  2. Step 2: Convert to fraction form
    457,156.71/685,780.17 = 157,597.85/x
  3. Step 3: Cross multiply
    457,156.71x = 685,780.17 × 157,597.85
  4. Step 4: Simplify right side
    457,156.71x = 108,077,482,079.09
  5. Step 5: Solve for x
    x = 108,077,482,079.09/457,156.71
  6. Step 6: Final answer
    x = 236,412.33

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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.