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Finding the Fourth Proportional to 442,917.60, 664,376.40 and 162,398.40

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Solution

The fourth proportional to 442,917.60, 664,376.40 and 162,398.40 is: 243,597.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,917.60 : 664,376.40 = 162,398.40 : x
  2. Step 2: Convert to fraction form
    442,917.60/664,376.40 = 162,398.40/x
  3. Step 3: Cross multiply
    442,917.60x = 664,376.40 × 162,398.40
  4. Step 4: Simplify right side
    442,917.60x = 107,893,664,357.76
  5. Step 5: Solve for x
    x = 107,893,664,357.76/442,917.60
  6. Step 6: Final answer
    x = 243,597.60

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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.