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Finding the Fourth Proportional to 313,260.30, 469,890.45 and 180,549.90

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Solution

The fourth proportional to 313,260.30, 469,890.45 and 180,549.90 is: 270,824.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,260.30 : 469,890.45 = 180,549.90 : x
  2. Step 2: Convert to fraction form
    313,260.30/469,890.45 = 180,549.90/x
  3. Step 3: Cross multiply
    313,260.30x = 469,890.45 × 180,549.90
  4. Step 4: Simplify right side
    313,260.30x = 84,838,673,758.46
  5. Step 5: Solve for x
    x = 84,838,673,758.46/313,260.30
  6. Step 6: Final answer
    x = 270,824.85

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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.