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Finding the Fourth Proportional to 345,401.30, 518,101.95 and 205,087.70

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Solution

The fourth proportional to 345,401.30, 518,101.95 and 205,087.70 is: 307,631.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,401.30 : 518,101.95 = 205,087.70 : x
  2. Step 2: Convert to fraction form
    345,401.30/518,101.95 = 205,087.70/x
  3. Step 3: Cross multiply
    345,401.30x = 518,101.95 × 205,087.70
  4. Step 4: Simplify right side
    345,401.30x = 106,256,337,291.02
  5. Step 5: Solve for x
    x = 106,256,337,291.02/345,401.30
  6. Step 6: Final answer
    x = 307,631.55

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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.