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Finding the Fourth Proportional to 410,940.80, 616,411.20 and 200,470.40

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Solution

The fourth proportional to 410,940.80, 616,411.20 and 200,470.40 is: 300,705.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,940.80 : 616,411.20 = 200,470.40 : x
  2. Step 2: Convert to fraction form
    410,940.80/616,411.20 = 200,470.40/x
  3. Step 3: Cross multiply
    410,940.80x = 616,411.20 × 200,470.40
  4. Step 4: Simplify right side
    410,940.80x = 123,572,199,828.48
  5. Step 5: Solve for x
    x = 123,572,199,828.48/410,940.80
  6. Step 6: Final answer
    x = 300,705.60

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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.