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Finding the Fourth Proportional to 413,158.74, 619,740.87 and 113,670.96

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Solution

The fourth proportional to 413,158.74, 619,740.87 and 113,670.96 is: 170,507.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,158.74 : 619,740.87 = 113,670.96 : x
  2. Step 2: Convert to fraction form
    413,158.74/619,740.87 = 113,670.96/x
  3. Step 3: Cross multiply
    413,158.74x = 619,740.87 × 113,670.96
  4. Step 4: Simplify right side
    413,158.74x = 70,446,539,644.14
  5. Step 5: Solve for x
    x = 70,446,539,644.14/413,158.74
  6. Step 6: Final answer
    x = 170,507.20

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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.