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Finding the Fourth Proportional to 652,265.40, 978,398.10 and 600,943.80

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Solution

The fourth proportional to 652,265.40, 978,398.10 and 600,943.80 is: 901,415.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,265.40 : 978,398.10 = 600,943.80 : x
  2. Step 2: Convert to fraction form
    652,265.40/978,398.10 = 600,943.80/x
  3. Step 3: Cross multiply
    652,265.40x = 978,398.10 × 600,943.80
  4. Step 4: Simplify right side
    652,265.40x = 587,962,272,126.78
  5. Step 5: Solve for x
    x = 587,962,272,126.78/652,265.40
  6. Step 6: Final answer
    x = 901,415.70

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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.