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Finding the Fourth Proportional to 432,250.14, 648,471.06 and 166,010.70

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Solution

The fourth proportional to 432,250.14, 648,471.06 and 166,010.70 is: 249,052.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,250.14 : 648,471.06 = 166,010.70 : x
  2. Step 2: Convert to fraction form
    432,250.14/648,471.06 = 166,010.70/x
  3. Step 3: Cross multiply
    432,250.14x = 648,471.06 × 166,010.70
  4. Step 4: Simplify right side
    432,250.14x = 107,653,134,600.34
  5. Step 5: Solve for x
    x = 107,653,134,600.34/432,250.14
  6. Step 6: Final answer
    x = 249,052.86

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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.