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Finding the Fourth Proportional to 439,478.30, 659,188.02 and 199,535.24

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Solution

The fourth proportional to 439,478.30, 659,188.02 and 199,535.24 is: 299,289.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,478.30 : 659,188.02 = 199,535.24 : x
  2. Step 2: Convert to fraction form
    439,478.30/659,188.02 = 199,535.24/x
  3. Step 3: Cross multiply
    439,478.30x = 659,188.02 × 199,535.24
  4. Step 4: Simplify right side
    439,478.30x = 131,531,239,775.83
  5. Step 5: Solve for x
    x = 131,531,239,775.83/439,478.30
  6. Step 6: Final answer
    x = 299,289.50

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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.