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Finding the Fourth Proportional to 442,191.38, 663,427.22 and 157,875.71

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Solution

The fourth proportional to 442,191.38, 663,427.22 and 157,875.71 is: 236,863.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,191.38 : 663,427.22 = 157,875.71 : x
  2. Step 2: Convert to fraction form
    442,191.38/663,427.22 = 157,875.71/x
  3. Step 3: Cross multiply
    442,191.38x = 663,427.22 × 157,875.71
  4. Step 4: Simplify right side
    442,191.38x = 104,739,039,284.31
  5. Step 5: Solve for x
    x = 104,739,039,284.31/442,191.38
  6. Step 6: Final answer
    x = 236,863.60

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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.