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Finding the Fourth Proportional to 324,702.12, 487,116.99 and 100,024.32

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Solution

The fourth proportional to 324,702.12, 487,116.99 and 100,024.32 is: 150,056.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,702.12 : 487,116.99 = 100,024.32 : x
  2. Step 2: Convert to fraction form
    324,702.12/487,116.99 = 100,024.32/x
  3. Step 3: Cross multiply
    324,702.12x = 487,116.99 × 100,024.32
  4. Step 4: Simplify right side
    324,702.12x = 48,723,545,685.20
  5. Step 5: Solve for x
    x = 48,723,545,685.20/324,702.12
  6. Step 6: Final answer
    x = 150,056.14

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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.