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Finding the Fourth Proportional to 442,908, 664,362 and 143,638.92

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Solution

The fourth proportional to 442,908, 664,362 and 143,638.92 is: 215,458.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,908 : 664,362 = 143,638.92 : x
  2. Step 2: Convert to fraction form
    442,908/664,362 = 143,638.92/x
  3. Step 3: Cross multiply
    442,908x = 664,362 × 143,638.92
  4. Step 4: Simplify right side
    442,908x = 95,428,240,169.04
  5. Step 5: Solve for x
    x = 95,428,240,169.04/442,908
  6. Step 6: Final answer
    x = 215,458.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.