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Finding the Fourth Proportional to 314,194.80, 471,292.20 and 188,223.60

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Solution

The fourth proportional to 314,194.80, 471,292.20 and 188,223.60 is: 282,335.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,194.80 : 471,292.20 = 188,223.60 : x
  2. Step 2: Convert to fraction form
    314,194.80/471,292.20 = 188,223.60/x
  3. Step 3: Cross multiply
    314,194.80x = 471,292.20 × 188,223.60
  4. Step 4: Simplify right side
    314,194.80x = 88,708,314,535.92
  5. Step 5: Solve for x
    x = 88,708,314,535.92/314,194.80
  6. Step 6: Final answer
    x = 282,335.40

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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.