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Finding the Fourth Proportional to 310,592.44, 428,644.92 and 183,243.16

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Solution

The fourth proportional to 310,592.44, 428,644.92 and 183,243.16 is: 252,891.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,592.44 : 428,644.92 = 183,243.16 : x
  2. Step 2: Convert to fraction form
    310,592.44/428,644.92 = 183,243.16/x
  3. Step 3: Cross multiply
    310,592.44x = 428,644.92 × 183,243.16
  4. Step 4: Simplify right side
    310,592.44x = 78,546,249,658.75
  5. Step 5: Solve for x
    x = 78,546,249,658.75/310,592.44
  6. Step 6: Final answer
    x = 252,891.70

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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.