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Finding the Fourth Proportional to 372,107.67, 513,546.72 and 219,194.00

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Solution

The fourth proportional to 372,107.67, 513,546.72 and 219,194.00 is: 302,510.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,107.67 : 513,546.72 = 219,194.00 : x
  2. Step 2: Convert to fraction form
    372,107.67/513,546.72 = 219,194.00/x
  3. Step 3: Cross multiply
    372,107.67x = 513,546.72 × 219,194.00
  4. Step 4: Simplify right side
    372,107.67x = 112,566,356,079.98
  5. Step 5: Solve for x
    x = 112,566,356,079.98/372,107.67
  6. Step 6: Final answer
    x = 302,510.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.