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Finding the Fourth Proportional to 442,868.60, 664,302.90 and 162,349.40

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Solution

The fourth proportional to 442,868.60, 664,302.90 and 162,349.40 is: 243,524.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,868.60 : 664,302.90 = 162,349.40 : x
  2. Step 2: Convert to fraction form
    442,868.60/664,302.90 = 162,349.40/x
  3. Step 3: Cross multiply
    442,868.60x = 664,302.90 × 162,349.40
  4. Step 4: Simplify right side
    442,868.60x = 107,849,177,233.26
  5. Step 5: Solve for x
    x = 107,849,177,233.26/442,868.60
  6. Step 6: Final answer
    x = 243,524.10

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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.