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Finding the Fourth Proportional to 412,764.99, 619,106.01 and 113,275.72

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Solution

The fourth proportional to 412,764.99, 619,106.01 and 113,275.72 is: 169,902.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,764.99 : 619,106.01 = 113,275.72 : x
  2. Step 2: Convert to fraction form
    412,764.99/619,106.01 = 113,275.72/x
  3. Step 3: Cross multiply
    412,764.99x = 619,106.01 × 113,275.72
  4. Step 4: Simplify right side
    412,764.99x = 70,129,679,039.08
  5. Step 5: Solve for x
    x = 70,129,679,039.08/412,764.99
  6. Step 6: Final answer
    x = 169,902.20

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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.