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Finding the Fourth Proportional to 278,666.40, 417,999.60 and 200,517.60

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Solution

The fourth proportional to 278,666.40, 417,999.60 and 200,517.60 is: 300,776.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,666.40 : 417,999.60 = 200,517.60 : x
  2. Step 2: Convert to fraction form
    278,666.40/417,999.60 = 200,517.60/x
  3. Step 3: Cross multiply
    278,666.40x = 417,999.60 × 200,517.60
  4. Step 4: Simplify right side
    278,666.40x = 83,816,276,592.96
  5. Step 5: Solve for x
    x = 83,816,276,592.96/278,666.40
  6. Step 6: Final answer
    x = 300,776.40

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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.