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Finding the Fourth Proportional to 292,451.64, 438,677.41 and 159,443.75

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Solution

The fourth proportional to 292,451.64, 438,677.41 and 159,443.75 is: 239,165.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,451.64 : 438,677.41 = 159,443.75 : x
  2. Step 2: Convert to fraction form
    292,451.64/438,677.41 = 159,443.75/x
  3. Step 3: Cross multiply
    292,451.64x = 438,677.41 × 159,443.75
  4. Step 4: Simplify right side
    292,451.64x = 69,944,371,290.69
  5. Step 5: Solve for x
    x = 69,944,371,290.69/292,451.64
  6. Step 6: Final answer
    x = 239,165.60

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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.