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Finding the Fourth Proportional to 212,770.40, 319,630.80 and 177,778.40

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Solution

The fourth proportional to 212,770.40, 319,630.80 and 177,778.40 is: 267,064.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,770.40 : 319,630.80 = 177,778.40 : x
  2. Step 2: Convert to fraction form
    212,770.40/319,630.80 = 177,778.40/x
  3. Step 3: Cross multiply
    212,770.40x = 319,630.80 × 177,778.40
  4. Step 4: Simplify right side
    212,770.40x = 56,823,452,214.72
  5. Step 5: Solve for x
    x = 56,823,452,214.72/212,770.40
  6. Step 6: Final answer
    x = 267,064.65

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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.