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Finding the Fourth Proportional to 314,510.80, 471,766.20 and 252,302.80

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Solution

The fourth proportional to 314,510.80, 471,766.20 and 252,302.80 is: 378,454.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,510.80 : 471,766.20 = 252,302.80 : x
  2. Step 2: Convert to fraction form
    314,510.80/471,766.20 = 252,302.80/x
  3. Step 3: Cross multiply
    314,510.80x = 471,766.20 × 252,302.80
  4. Step 4: Simplify right side
    314,510.80x = 119,027,933,205.36
  5. Step 5: Solve for x
    x = 119,027,933,205.36/314,510.80
  6. Step 6: Final answer
    x = 378,454.20

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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.