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Finding the Fourth Proportional to 499,534, 749,103.76 and 199,958.74

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Solution

The fourth proportional to 499,534, 749,103.76 and 199,958.74 is: 299,859.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,534 : 749,103.76 = 199,958.74 : x
  2. Step 2: Convert to fraction form
    499,534/749,103.76 = 199,958.74/x
  3. Step 3: Cross multiply
    499,534x = 749,103.76 × 199,958.74
  4. Step 4: Simplify right side
    499,534x = 149,789,843,978.86
  5. Step 5: Solve for x
    x = 149,789,843,978.86/499,534
  6. Step 6: Final answer
    x = 299,859.16

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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.