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Finding the Fourth Proportional to 652,251.40, 978,377.10 and 463,294.60

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Solution

The fourth proportional to 652,251.40, 978,377.10 and 463,294.60 is: 694,941.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,251.40 : 978,377.10 = 463,294.60 : x
  2. Step 2: Convert to fraction form
    652,251.40/978,377.10 = 463,294.60/x
  3. Step 3: Cross multiply
    652,251.40x = 978,377.10 × 463,294.60
  4. Step 4: Simplify right side
    652,251.40x = 453,276,827,193.66
  5. Step 5: Solve for x
    x = 453,276,827,193.66/652,251.40
  6. Step 6: Final answer
    x = 694,941.90

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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.