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Finding the Fourth Proportional to 457,663.53, 686,336.02 and 187,715.00

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Solution

The fourth proportional to 457,663.53, 686,336.02 and 187,715.00 is: 281,507.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,663.53 : 686,336.02 = 187,715.00 : x
  2. Step 2: Convert to fraction form
    457,663.53/686,336.02 = 187,715.00/x
  3. Step 3: Cross multiply
    457,663.53x = 686,336.02 × 187,715.00
  4. Step 4: Simplify right side
    457,663.53x = 128,835,567,240.85
  5. Step 5: Solve for x
    x = 128,835,567,240.85/457,663.53
  6. Step 6: Final answer
    x = 281,507.17

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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.