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Finding the Fourth Proportional to 442,105.92, 662,686.74 and 252,157.28

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Solution

The fourth proportional to 442,105.92, 662,686.74 and 252,157.28 is: 377,966.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,105.92 : 662,686.74 = 252,157.28 : x
  2. Step 2: Convert to fraction form
    442,105.92/662,686.74 = 252,157.28/x
  3. Step 3: Cross multiply
    442,105.92x = 662,686.74 × 252,157.28
  4. Step 4: Simplify right side
    442,105.92x = 167,101,282,537.03
  5. Step 5: Solve for x
    x = 167,101,282,537.03/442,105.92
  6. Step 6: Final answer
    x = 377,966.63

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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.