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Finding the Fourth Proportional to 457,146.53, 685,764.87 and 157,587.67

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Solution

The fourth proportional to 457,146.53, 685,764.87 and 157,587.67 is: 236,397.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,146.53 : 685,764.87 = 157,587.67 : x
  2. Step 2: Convert to fraction form
    457,146.53/685,764.87 = 157,587.67/x
  3. Step 3: Cross multiply
    457,146.53x = 685,764.87 × 157,587.67
  4. Step 4: Simplify right side
    457,146.53x = 108,068,083,814.39
  5. Step 5: Solve for x
    x = 108,068,083,814.39/457,146.53
  6. Step 6: Final answer
    x = 236,397.04

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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.