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Finding the Fourth Proportional to 442,929.60, 664,394.40 and 162,410.40

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Solution

The fourth proportional to 442,929.60, 664,394.40 and 162,410.40 is: 243,615.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,929.60 : 664,394.40 = 162,410.40 : x
  2. Step 2: Convert to fraction form
    442,929.60/664,394.40 = 162,410.40/x
  3. Step 3: Cross multiply
    442,929.60x = 664,394.40 × 162,410.40
  4. Step 4: Simplify right side
    442,929.60x = 107,904,560,261.76
  5. Step 5: Solve for x
    x = 107,904,560,261.76/442,929.60
  6. Step 6: Final answer
    x = 243,615.60

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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.