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Finding the Fourth Proportional to 457,602.14, 686,438.28 and 153,997.81

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Solution

The fourth proportional to 457,602.14, 686,438.28 and 153,997.81 is: 231,008.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,602.14 : 686,438.28 = 153,997.81 : x
  2. Step 2: Convert to fraction form
    457,602.14/686,438.28 = 153,997.81/x
  3. Step 3: Cross multiply
    457,602.14x = 686,438.28 × 153,997.81
  4. Step 4: Simplify right side
    457,602.14x = 105,709,990,104.07
  5. Step 5: Solve for x
    x = 105,709,990,104.07/457,602.14
  6. Step 6: Final answer
    x = 231,008.51

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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.