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Finding the Fourth Proportional to 457,151.58, 685,772.46 and 157,592.75

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Solution

The fourth proportional to 457,151.58, 685,772.46 and 157,592.75 is: 236,404.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,151.58 : 685,772.46 = 157,592.75 : x
  2. Step 2: Convert to fraction form
    457,151.58/685,772.46 = 157,592.75/x
  3. Step 3: Cross multiply
    457,151.58x = 685,772.46 × 157,592.75
  4. Step 4: Simplify right side
    457,151.58x = 108,072,764,416.80
  5. Step 5: Solve for x
    x = 108,072,764,416.80/457,151.58
  6. Step 6: Final answer
    x = 236,404.66

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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.