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Finding the Fourth Proportional to 413,040.65, 619,448.13 and 113,450.00

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Solution

The fourth proportional to 413,040.65, 619,448.13 and 113,450.00 is: 170,144.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,040.65 : 619,448.13 = 113,450.00 : x
  2. Step 2: Convert to fraction form
    413,040.65/619,448.13 = 113,450.00/x
  3. Step 3: Cross multiply
    413,040.65x = 619,448.13 × 113,450.00
  4. Step 4: Simplify right side
    413,040.65x = 70,276,387,251.26
  5. Step 5: Solve for x
    x = 70,276,387,251.26/413,040.65
  6. Step 6: Final answer
    x = 170,144.00

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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.