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Finding the Fourth Proportional to 652,197.60, 978,296.40 and 278,949.60

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Solution

The fourth proportional to 652,197.60, 978,296.40 and 278,949.60 is: 418,424.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,197.60 : 978,296.40 = 278,949.60 : x
  2. Step 2: Convert to fraction form
    652,197.60/978,296.40 = 278,949.60/x
  3. Step 3: Cross multiply
    652,197.60x = 978,296.40 × 278,949.60
  4. Step 4: Simplify right side
    652,197.60x = 272,895,389,461.44
  5. Step 5: Solve for x
    x = 272,895,389,461.44/652,197.60
  6. Step 6: Final answer
    x = 418,424.40

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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.