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Finding the Fourth Proportional to 442,051.60, 663,077.40 and 109,627.60

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Solution

The fourth proportional to 442,051.60, 663,077.40 and 109,627.60 is: 164,441.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,051.60 : 663,077.40 = 109,627.60 : x
  2. Step 2: Convert to fraction form
    442,051.60/663,077.40 = 109,627.60/x
  3. Step 3: Cross multiply
    442,051.60x = 663,077.40 × 109,627.60
  4. Step 4: Simplify right side
    442,051.60x = 72,691,583,976.24
  5. Step 5: Solve for x
    x = 72,691,583,976.24/442,051.60
  6. Step 6: Final answer
    x = 164,441.40

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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.