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Finding the Fourth Proportional to 413,206.16, 619,727.56 and 113,609.44

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Solution

The fourth proportional to 413,206.16, 619,727.56 and 113,609.44 is: 170,391.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,206.16 : 619,727.56 = 113,609.44 : x
  2. Step 2: Convert to fraction form
    413,206.16/619,727.56 = 113,609.44/x
  3. Step 3: Cross multiply
    413,206.16x = 619,727.56 × 113,609.44
  4. Step 4: Simplify right side
    413,206.16x = 70,406,901,044.17
  5. Step 5: Solve for x
    x = 70,406,901,044.17/413,206.16
  6. Step 6: Final answer
    x = 170,391.70

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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.