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Finding the Fourth Proportional to 278,438.40, 417,657.60 and 200,289.60

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Solution

The fourth proportional to 278,438.40, 417,657.60 and 200,289.60 is: 300,434.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,438.40 : 417,657.60 = 200,289.60 : x
  2. Step 2: Convert to fraction form
    278,438.40/417,657.60 = 200,289.60/x
  3. Step 3: Cross multiply
    278,438.40x = 417,657.60 × 200,289.60
  4. Step 4: Simplify right side
    278,438.40x = 83,652,473,640.96
  5. Step 5: Solve for x
    x = 83,652,473,640.96/278,438.40
  6. Step 6: Final answer
    x = 300,434.40

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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.