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Finding the Fourth Proportional to 397,006.56, 595,599.84 and 130,793.76

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Solution

The fourth proportional to 397,006.56, 595,599.84 and 130,793.76 is: 196,220.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,006.56 : 595,599.84 = 130,793.76 : x
  2. Step 2: Convert to fraction form
    397,006.56/595,599.84 = 130,793.76/x
  3. Step 3: Cross multiply
    397,006.56x = 595,599.84 × 130,793.76
  4. Step 4: Simplify right side
    397,006.56x = 77,900,742,529.00
  5. Step 5: Solve for x
    x = 77,900,742,529.00/397,006.56
  6. Step 6: Final answer
    x = 196,220.29

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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.