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Finding the Fourth Proportional to 375,936.96, 564,125.76 and 151,262.40

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Solution

The fourth proportional to 375,936.96, 564,125.76 and 151,262.40 is: 226,982.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,936.96 : 564,125.76 = 151,262.40 : x
  2. Step 2: Convert to fraction form
    375,936.96/564,125.76 = 151,262.40/x
  3. Step 3: Cross multiply
    375,936.96x = 564,125.76 × 151,262.40
  4. Step 4: Simplify right side
    375,936.96x = 85,331,016,359.42
  5. Step 5: Solve for x
    x = 85,331,016,359.42/375,936.96
  6. Step 6: Final answer
    x = 226,982.25

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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.