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Finding the Fourth Proportional to 410,592.80, 616,234.80 and 200,410.40

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Solution

The fourth proportional to 410,592.80, 616,234.80 and 200,410.40 is: 300,784.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,592.80 : 616,234.80 = 200,410.40 : x
  2. Step 2: Convert to fraction form
    410,592.80/616,234.80 = 200,410.40/x
  3. Step 3: Cross multiply
    410,592.80x = 616,234.80 × 200,410.40
  4. Step 4: Simplify right side
    410,592.80x = 123,499,862,761.92
  5. Step 5: Solve for x
    x = 123,499,862,761.92/410,592.80
  6. Step 6: Final answer
    x = 300,784.29

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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.