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Finding the Fourth Proportional to 652,504.19, 978,439.85 and 382,720.49

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Solution

The fourth proportional to 652,504.19, 978,439.85 and 382,720.49 is: 573,895.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,504.19 : 978,439.85 = 382,720.49 : x
  2. Step 2: Convert to fraction form
    652,504.19/978,439.85 = 382,720.49/x
  3. Step 3: Cross multiply
    652,504.19x = 978,439.85 × 382,720.49
  4. Step 4: Simplify right side
    652,504.19x = 374,468,982,230.43
  5. Step 5: Solve for x
    x = 374,468,982,230.43/652,504.19
  6. Step 6: Final answer
    x = 573,895.14

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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.