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Finding the Fourth Proportional to 457,142.52, 685,758.86 and 157,583.67

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Solution

The fourth proportional to 457,142.52, 685,758.86 and 157,583.67 is: 236,391.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,142.52 : 685,758.86 = 157,583.67 : x
  2. Step 2: Convert to fraction form
    457,142.52/685,758.86 = 157,583.67/x
  3. Step 3: Cross multiply
    457,142.52x = 685,758.86 × 157,583.67
  4. Step 4: Simplify right side
    457,142.52x = 108,064,397,893.82
  5. Step 5: Solve for x
    x = 108,064,397,893.82/457,142.52
  6. Step 6: Final answer
    x = 236,391.04

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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.