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Finding the Fourth Proportional to 497,468.43, 746,199.81 and 142,482.56

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Solution

The fourth proportional to 497,468.43, 746,199.81 and 142,482.56 is: 213,723.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,468.43 : 746,199.81 = 142,482.56 : x
  2. Step 2: Convert to fraction form
    497,468.43/746,199.81 = 142,482.56/x
  3. Step 3: Cross multiply
    497,468.43x = 746,199.81 × 142,482.56
  4. Step 4: Simplify right side
    497,468.43x = 106,320,455,469.32
  5. Step 5: Solve for x
    x = 106,320,455,469.32/497,468.43
  6. Step 6: Final answer
    x = 213,723.02

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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.