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Finding the Fourth Proportional to 413,166.62, 619,752.67 and 113,678.84

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Solution

The fourth proportional to 413,166.62, 619,752.67 and 113,678.84 is: 170,519.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,166.62 : 619,752.67 = 113,678.84 : x
  2. Step 2: Convert to fraction form
    413,166.62/619,752.67 = 113,678.84/x
  3. Step 3: Cross multiply
    413,166.62x = 619,752.67 × 113,678.84
  4. Step 4: Simplify right side
    413,166.62x = 70,452,765,877.69
  5. Step 5: Solve for x
    x = 70,452,765,877.69/413,166.62
  6. Step 6: Final answer
    x = 170,519.02

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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.