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Finding the Fourth Proportional to 412,740.34, 619,111.32 and 113,225.02

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Solution

The fourth proportional to 412,740.34, 619,111.32 and 113,225.02 is: 169,837.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,740.34 : 619,111.32 = 113,225.02 : x
  2. Step 2: Convert to fraction form
    412,740.34/619,111.32 = 113,225.02/x
  3. Step 3: Cross multiply
    412,740.34x = 619,111.32 × 113,225.02
  4. Step 4: Simplify right side
    412,740.34x = 70,098,891,589.23
  5. Step 5: Solve for x
    x = 70,098,891,589.23/412,740.34
  6. Step 6: Final answer
    x = 169,837.75

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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.