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Finding the Fourth Proportional to 382,166.32, 527,385.72 and 212,396.80

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Solution

The fourth proportional to 382,166.32, 527,385.72 and 212,396.80 is: 293,105.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,166.32 : 527,385.72 = 212,396.80 : x
  2. Step 2: Convert to fraction form
    382,166.32/527,385.72 = 212,396.80/x
  3. Step 3: Cross multiply
    382,166.32x = 527,385.72 × 212,396.80
  4. Step 4: Simplify right side
    382,166.32x = 112,015,039,293.70
  5. Step 5: Solve for x
    x = 112,015,039,293.70/382,166.32
  6. Step 6: Final answer
    x = 293,105.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.