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Finding the Fourth Proportional to 457,141.52, 685,757.36 and 157,582.67

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Solution

The fourth proportional to 457,141.52, 685,757.36 and 157,582.67 is: 236,389.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,141.52 : 685,757.36 = 157,582.67 : x
  2. Step 2: Convert to fraction form
    457,141.52/685,757.36 = 157,582.67/x
  3. Step 3: Cross multiply
    457,141.52x = 685,757.36 × 157,582.67
  4. Step 4: Simplify right side
    457,141.52x = 108,063,472,726.12
  5. Step 5: Solve for x
    x = 108,063,472,726.12/457,141.52
  6. Step 6: Final answer
    x = 236,389.54

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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.