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Finding the Fourth Proportional to 389,097.28, 583,651.76 and 108,616

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Solution

The fourth proportional to 389,097.28, 583,651.76 and 108,616 is: 162,925.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,097.28 : 583,651.76 = 108,616 : x
  2. Step 2: Convert to fraction form
    389,097.28/583,651.76 = 108,616/x
  3. Step 3: Cross multiply
    389,097.28x = 583,651.76 × 108,616
  4. Step 4: Simplify right side
    389,097.28x = 63,393,919,564.16
  5. Step 5: Solve for x
    x = 63,393,919,564.16/389,097.28
  6. Step 6: Final answer
    x = 162,925.63

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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.