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Finding the Fourth Proportional to 550,387.28, 825,657.42 and 195,316.86

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Solution

The fourth proportional to 550,387.28, 825,657.42 and 195,316.86 is: 293,002.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,387.28 : 825,657.42 = 195,316.86 : x
  2. Step 2: Convert to fraction form
    550,387.28/825,657.42 = 195,316.86/x
  3. Step 3: Cross multiply
    550,387.28x = 825,657.42 × 195,316.86
  4. Step 4: Simplify right side
    550,387.28x = 161,264,814,710.10
  5. Step 5: Solve for x
    x = 161,264,814,710.10/550,387.28
  6. Step 6: Final answer
    x = 293,002.44

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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.