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Finding the Fourth Proportional to 552,963.52, 829,416.12 and 272,386

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Solution

The fourth proportional to 552,963.52, 829,416.12 and 272,386 is: 408,564.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,963.52 : 829,416.12 = 272,386 : x
  2. Step 2: Convert to fraction form
    552,963.52/829,416.12 = 272,386/x
  3. Step 3: Cross multiply
    552,963.52x = 829,416.12 × 272,386
  4. Step 4: Simplify right side
    552,963.52x = 225,921,339,262.32
  5. Step 5: Solve for x
    x = 225,921,339,262.32/552,963.52
  6. Step 6: Final answer
    x = 408,564.64

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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.