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Finding the Fourth Proportional to 412,970.20, 619,301.70 and 163,600.60

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Solution

The fourth proportional to 412,970.20, 619,301.70 and 163,600.60 is: 245,340.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,970.20 : 619,301.70 = 163,600.60 : x
  2. Step 2: Convert to fraction form
    412,970.20/619,301.70 = 163,600.60/x
  3. Step 3: Cross multiply
    412,970.20x = 619,301.70 × 163,600.60
  4. Step 4: Simplify right side
    412,970.20x = 101,318,129,701.02
  5. Step 5: Solve for x
    x = 101,318,129,701.02/412,970.20
  6. Step 6: Final answer
    x = 245,340.05

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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.