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Finding the Fourth Proportional to 410,812.20, 616,218.30 and 277,842.60

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Solution

The fourth proportional to 410,812.20, 616,218.30 and 277,842.60 is: 416,763.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,812.20 : 616,218.30 = 277,842.60 : x
  2. Step 2: Convert to fraction form
    410,812.20/616,218.30 = 277,842.60/x
  3. Step 3: Cross multiply
    410,812.20x = 616,218.30 × 277,842.60
  4. Step 4: Simplify right side
    410,812.20x = 171,211,694,639.58
  5. Step 5: Solve for x
    x = 171,211,694,639.58/410,812.20
  6. Step 6: Final answer
    x = 416,763.90

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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.