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Finding the Fourth Proportional to 314,344.80, 471,517.20 and 114,598.80

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Solution

The fourth proportional to 314,344.80, 471,517.20 and 114,598.80 is: 171,898.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,344.80 : 471,517.20 = 114,598.80 : x
  2. Step 2: Convert to fraction form
    314,344.80/471,517.20 = 114,598.80/x
  3. Step 3: Cross multiply
    314,344.80x = 471,517.20 × 114,598.80
  4. Step 4: Simplify right side
    314,344.80x = 54,035,305,299.36
  5. Step 5: Solve for x
    x = 54,035,305,299.36/314,344.80
  6. Step 6: Final answer
    x = 171,898.20

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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.