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Finding the Fourth Proportional to 274,214.40, 410,860.80 and 133,670.40

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Solution

The fourth proportional to 274,214.40, 410,860.80 and 133,670.40 is: 200,280.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,214.40 : 410,860.80 = 133,670.40 : x
  2. Step 2: Convert to fraction form
    274,214.40/410,860.80 = 133,670.40/x
  3. Step 3: Cross multiply
    274,214.40x = 410,860.80 × 133,670.40
  4. Step 4: Simplify right side
    274,214.40x = 54,919,927,480.32
  5. Step 5: Solve for x
    x = 54,919,927,480.32/274,214.40
  6. Step 6: Final answer
    x = 200,280.98

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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.