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Finding the Fourth Proportional to 412,946.88, 619,526.88 and 132,466.56

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Solution

The fourth proportional to 412,946.88, 619,526.88 and 132,466.56 is: 198,734.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,946.88 : 619,526.88 = 132,466.56 : x
  2. Step 2: Convert to fraction form
    412,946.88/619,526.88 = 132,466.56/x
  3. Step 3: Cross multiply
    412,946.88x = 619,526.88 × 132,466.56
  4. Step 4: Simplify right side
    412,946.88x = 82,066,594,621.13
  5. Step 5: Solve for x
    x = 82,066,594,621.13/412,946.88
  6. Step 6: Final answer
    x = 198,734.02

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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.