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Finding the Fourth Proportional to 600,963.14, 829,296.28 and 328,978.42

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Solution

The fourth proportional to 600,963.14, 829,296.28 and 328,978.42 is: 453,972.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,963.14 : 829,296.28 = 328,978.42 : x
  2. Step 2: Convert to fraction form
    600,963.14/829,296.28 = 328,978.42/x
  3. Step 3: Cross multiply
    600,963.14x = 829,296.28 × 328,978.42
  4. Step 4: Simplify right side
    600,963.14x = 272,820,577,010.59
  5. Step 5: Solve for x
    x = 272,820,577,010.59/600,963.14
  6. Step 6: Final answer
    x = 453,972.23

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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.