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Finding the Fourth Proportional to 442,353.20, 663,530.21 and 109,929.20

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Solution

The fourth proportional to 442,353.20, 663,530.21 and 109,929.20 is: 164,893.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,353.20 : 663,530.21 = 109,929.20 : x
  2. Step 2: Convert to fraction form
    442,353.20/663,530.21 = 109,929.20/x
  3. Step 3: Cross multiply
    442,353.20x = 663,530.21 × 109,929.20
  4. Step 4: Simplify right side
    442,353.20x = 72,941,341,293.84
  5. Step 5: Solve for x
    x = 72,941,341,293.84/442,353.20
  6. Step 6: Final answer
    x = 164,893.90

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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.