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Finding the Fourth Proportional to 410,843.80, 616,265.70 and 144,904.60

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Solution

The fourth proportional to 410,843.80, 616,265.70 and 144,904.60 is: 217,356.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,843.80 : 616,265.70 = 144,904.60 : x
  2. Step 2: Convert to fraction form
    410,843.80/616,265.70 = 144,904.60/x
  3. Step 3: Cross multiply
    410,843.80x = 616,265.70 × 144,904.60
  4. Step 4: Simplify right side
    410,843.80x = 89,299,734,752.22
  5. Step 5: Solve for x
    x = 89,299,734,752.22/410,843.80
  6. Step 6: Final answer
    x = 217,356.90

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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.