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Finding the Fourth Proportional to 552,761.20, 829,141.80 and 178,784.20

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Solution

The fourth proportional to 552,761.20, 829,141.80 and 178,784.20 is: 268,176.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,761.20 : 829,141.80 = 178,784.20 : x
  2. Step 2: Convert to fraction form
    552,761.20/829,141.80 = 178,784.20/x
  3. Step 3: Cross multiply
    552,761.20x = 829,141.80 × 178,784.20
  4. Step 4: Simplify right side
    552,761.20x = 148,237,453,399.56
  5. Step 5: Solve for x
    x = 148,237,453,399.56/552,761.20
  6. Step 6: Final answer
    x = 268,176.30

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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.