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Finding the Fourth Proportional to 497,767.16, 746,550.30 and 142,685.84

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Solution

The fourth proportional to 497,767.16, 746,550.30 and 142,685.84 is: 213,999.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,767.16 : 746,550.30 = 142,685.84 : x
  2. Step 2: Convert to fraction form
    497,767.16/746,550.30 = 142,685.84/x
  3. Step 3: Cross multiply
    497,767.16x = 746,550.30 × 142,685.84
  4. Step 4: Simplify right side
    497,767.16x = 106,522,156,657.75
  5. Step 5: Solve for x
    x = 106,522,156,657.75/497,767.16
  6. Step 6: Final answer
    x = 213,999.97

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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.