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Finding the Fourth Proportional to 652,244.10, 978,366.15 and 278,996.10

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Solution

The fourth proportional to 652,244.10, 978,366.15 and 278,996.10 is: 418,494.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,244.10 : 978,366.15 = 278,996.10 : x
  2. Step 2: Convert to fraction form
    652,244.10/978,366.15 = 278,996.10/x
  3. Step 3: Cross multiply
    652,244.10x = 978,366.15 × 278,996.10
  4. Step 4: Simplify right side
    652,244.10x = 272,960,340,222.02
  5. Step 5: Solve for x
    x = 272,960,340,222.02/652,244.10
  6. Step 6: Final answer
    x = 418,494.15

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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.