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Finding the Fourth Proportional to 652,165.70, 978,248.55 and 403,333.70

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Solution

The fourth proportional to 652,165.70, 978,248.55 and 403,333.70 is: 605,000.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,165.70 : 978,248.55 = 403,333.70 : x
  2. Step 2: Convert to fraction form
    652,165.70/978,248.55 = 403,333.70/x
  3. Step 3: Cross multiply
    652,165.70x = 978,248.55 × 403,333.70
  4. Step 4: Simplify right side
    652,165.70x = 394,560,607,191.14
  5. Step 5: Solve for x
    x = 394,560,607,191.14/652,165.70
  6. Step 6: Final answer
    x = 605,000.55

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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.