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Finding the Fourth Proportional to 375,586.52, 563,405.80 and 150,947.14

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Solution

The fourth proportional to 375,586.52, 563,405.80 and 150,947.14 is: 226,431.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,586.52 : 563,405.80 = 150,947.14 : x
  2. Step 2: Convert to fraction form
    375,586.52/563,405.80 = 150,947.14/x
  3. Step 3: Cross multiply
    375,586.52x = 563,405.80 × 150,947.14
  4. Step 4: Simplify right side
    375,586.52x = 85,044,494,169.41
  5. Step 5: Solve for x
    x = 85,044,494,169.41/375,586.52
  6. Step 6: Final answer
    x = 226,431.17

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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.