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Finding the Fourth Proportional to 375,393.80, 563,173.80 and 206,827.36

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Solution

The fourth proportional to 375,393.80, 563,173.80 and 206,827.36 is: 310,286.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,393.80 : 563,173.80 = 206,827.36 : x
  2. Step 2: Convert to fraction form
    375,393.80/563,173.80 = 206,827.36/x
  3. Step 3: Cross multiply
    375,393.80x = 563,173.80 × 206,827.36
  4. Step 4: Simplify right side
    375,393.80x = 116,479,750,275.17
  5. Step 5: Solve for x
    x = 116,479,750,275.17/375,393.80
  6. Step 6: Final answer
    x = 310,286.82

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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.