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Finding the Fourth Proportional to 552,072.14, 761,806.59 and 310,299.02

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Solution

The fourth proportional to 552,072.14, 761,806.59 and 310,299.02 is: 428,182.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,072.14 : 761,806.59 = 310,299.02 : x
  2. Step 2: Convert to fraction form
    552,072.14/761,806.59 = 310,299.02/x
  3. Step 3: Cross multiply
    552,072.14x = 761,806.59 × 310,299.02
  4. Step 4: Simplify right side
    552,072.14x = 236,387,838,306.54
  5. Step 5: Solve for x
    x = 236,387,838,306.54/552,072.14
  6. Step 6: Final answer
    x = 428,182.88

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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.