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Finding the Fourth Proportional to 550,432.80, 825,666.48 and 195,441.12

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Solution

The fourth proportional to 550,432.80, 825,666.48 and 195,441.12 is: 293,167.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,432.80 : 825,666.48 = 195,441.12 : x
  2. Step 2: Convert to fraction form
    550,432.80/825,666.48 = 195,441.12/x
  3. Step 3: Cross multiply
    550,432.80x = 825,666.48 × 195,441.12
  4. Step 4: Simplify right side
    550,432.80x = 161,369,181,597.66
  5. Step 5: Solve for x
    x = 161,369,181,597.66/550,432.80
  6. Step 6: Final answer
    x = 293,167.82

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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.