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Finding the Fourth Proportional to 413,109.88, 619,727.24 and 146,807.09

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Solution

The fourth proportional to 413,109.88, 619,727.24 and 146,807.09 is: 220,232.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,109.88 : 619,727.24 = 146,807.09 : x
  2. Step 2: Convert to fraction form
    413,109.88/619,727.24 = 146,807.09/x
  3. Step 3: Cross multiply
    413,109.88x = 619,727.24 × 146,807.09
  4. Step 4: Simplify right side
    413,109.88x = 90,980,352,290.49
  5. Step 5: Solve for x
    x = 90,980,352,290.49/413,109.88
  6. Step 6: Final answer
    x = 220,232.82

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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.