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Finding the Fourth Proportional to 472,414.80, 706,894.20 and 347,998.80

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Solution

The fourth proportional to 472,414.80, 706,894.20 and 347,998.80 is: 520,725.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,414.80 : 706,894.20 = 347,998.80 : x
  2. Step 2: Convert to fraction form
    472,414.80/706,894.20 = 347,998.80/x
  3. Step 3: Cross multiply
    472,414.80x = 706,894.20 × 347,998.80
  4. Step 4: Simplify right side
    472,414.80x = 245,998,333,326.96
  5. Step 5: Solve for x
    x = 245,998,333,326.96/472,414.80
  6. Step 6: Final answer
    x = 520,725.29

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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.