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Finding the Fourth Proportional to 442,847.70, 664,271.55 and 162,474.30

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Solution

The fourth proportional to 442,847.70, 664,271.55 and 162,474.30 is: 243,711.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,847.70 : 664,271.55 = 162,474.30 : x
  2. Step 2: Convert to fraction form
    442,847.70/664,271.55 = 162,474.30/x
  3. Step 3: Cross multiply
    442,847.70x = 664,271.55 × 162,474.30
  4. Step 4: Simplify right side
    442,847.70x = 107,927,055,096.17
  5. Step 5: Solve for x
    x = 107,927,055,096.17/442,847.70
  6. Step 6: Final answer
    x = 243,711.45

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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.