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Finding the Fourth Proportional to 412,881.34, 619,322.98 and 113,366.02

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Solution

The fourth proportional to 412,881.34, 619,322.98 and 113,366.02 is: 170,049.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,881.34 : 619,322.98 = 113,366.02 : x
  2. Step 2: Convert to fraction form
    412,881.34/619,322.98 = 113,366.02/x
  3. Step 3: Cross multiply
    412,881.34x = 619,322.98 × 113,366.02
  4. Step 4: Simplify right side
    412,881.34x = 70,210,181,337.14
  5. Step 5: Solve for x
    x = 70,210,181,337.14/412,881.34
  6. Step 6: Final answer
    x = 170,049.30

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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.