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Finding the Fourth Proportional to 472,914.60, 709,458.30 and 192,460.20

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Solution

The fourth proportional to 472,914.60, 709,458.30 and 192,460.20 is: 288,725.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,914.60 : 709,458.30 = 192,460.20 : x
  2. Step 2: Convert to fraction form
    472,914.60/709,458.30 = 192,460.20/x
  3. Step 3: Cross multiply
    472,914.60x = 709,458.30 × 192,460.20
  4. Step 4: Simplify right side
    472,914.60x = 136,542,486,309.66
  5. Step 5: Solve for x
    x = 136,542,486,309.66/472,914.60
  6. Step 6: Final answer
    x = 288,725.46

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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.