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Finding the Fourth Proportional to 578,570.80, 867,913.24 and 199,441.60

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Solution

The fourth proportional to 578,570.80, 867,913.24 and 199,441.60 is: 299,182.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,570.80 : 867,913.24 = 199,441.60 : x
  2. Step 2: Convert to fraction form
    578,570.80/867,913.24 = 199,441.60/x
  3. Step 3: Cross multiply
    578,570.80x = 867,913.24 × 199,441.60
  4. Step 4: Simplify right side
    578,570.80x = 173,098,005,246.78
  5. Step 5: Solve for x
    x = 173,098,005,246.78/578,570.80
  6. Step 6: Final answer
    x = 299,182.06

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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.