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Finding the Fourth Proportional to 576,002.40, 794,902.40 and 314,372

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Solution

The fourth proportional to 576,002.40, 794,902.40 and 314,372 is: 433,843.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,002.40 : 794,902.40 = 314,372 : x
  2. Step 2: Convert to fraction form
    576,002.40/794,902.40 = 314,372/x
  3. Step 3: Cross multiply
    576,002.40x = 794,902.40 × 314,372
  4. Step 4: Simplify right side
    576,002.40x = 249,895,057,292.80
  5. Step 5: Solve for x
    x = 249,895,057,292.80/576,002.40
  6. Step 6: Final answer
    x = 433,843.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.