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Finding the Fourth Proportional to 292,327.70, 438,491.55 and 82,001.30

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Solution

The fourth proportional to 292,327.70, 438,491.55 and 82,001.30 is: 123,001.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,327.70 : 438,491.55 = 82,001.30 : x
  2. Step 2: Convert to fraction form
    292,327.70/438,491.55 = 82,001.30/x
  3. Step 3: Cross multiply
    292,327.70x = 438,491.55 × 82,001.30
  4. Step 4: Simplify right side
    292,327.70x = 35,956,877,139.02
  5. Step 5: Solve for x
    x = 35,956,877,139.02/292,327.70
  6. Step 6: Final answer
    x = 123,001.95

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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.