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Finding the Fourth Proportional to 314,401.20, 471,601.80 and 252,193.20

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Solution

The fourth proportional to 314,401.20, 471,601.80 and 252,193.20 is: 378,289.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,401.20 : 471,601.80 = 252,193.20 : x
  2. Step 2: Convert to fraction form
    314,401.20/471,601.80 = 252,193.20/x
  3. Step 3: Cross multiply
    314,401.20x = 471,601.80 × 252,193.20
  4. Step 4: Simplify right side
    314,401.20x = 118,934,767,067.76
  5. Step 5: Solve for x
    x = 118,934,767,067.76/314,401.20
  6. Step 6: Final answer
    x = 378,289.80

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1.5x scale

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.