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Finding the Fourth Proportional to 462,145.60, 693,909.60 and 322,523.20

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Solution

The fourth proportional to 462,145.60, 693,909.60 and 322,523.20 is: 484,267.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,145.60 : 693,909.60 = 322,523.20 : x
  2. Step 2: Convert to fraction form
    462,145.60/693,909.60 = 322,523.20/x
  3. Step 3: Cross multiply
    462,145.60x = 693,909.60 × 322,523.20
  4. Step 4: Simplify right side
    462,145.60x = 223,801,944,702.72
  5. Step 5: Solve for x
    x = 223,801,944,702.72/462,145.60
  6. Step 6: Final answer
    x = 484,267.18

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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.