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Finding the Fourth Proportional to 499,017.13, 748,524.93 and 199,567.92

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Solution

The fourth proportional to 499,017.13, 748,524.93 and 199,567.92 is: 299,351.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,017.13 : 748,524.93 = 199,567.92 : x
  2. Step 2: Convert to fraction form
    499,017.13/748,524.93 = 199,567.92/x
  3. Step 3: Cross multiply
    499,017.13x = 748,524.93 × 199,567.92
  4. Step 4: Simplify right side
    499,017.13x = 149,381,566,155.21
  5. Step 5: Solve for x
    x = 149,381,566,155.21/499,017.13
  6. Step 6: Final answer
    x = 299,351.58

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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.