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Finding the Fourth Proportional to 442,947.70, 664,421.55 and 162,574.30

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Solution

The fourth proportional to 442,947.70, 664,421.55 and 162,574.30 is: 243,861.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,947.70 : 664,421.55 = 162,574.30 : x
  2. Step 2: Convert to fraction form
    442,947.70/664,421.55 = 162,574.30/x
  3. Step 3: Cross multiply
    442,947.70x = 664,421.55 × 162,574.30
  4. Step 4: Simplify right side
    442,947.70x = 108,017,868,396.17
  5. Step 5: Solve for x
    x = 108,017,868,396.17/442,947.70
  6. Step 6: Final answer
    x = 243,861.45

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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.