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Finding the Fourth Proportional to 410,843.60, 616,265.40 and 144,904.40

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Solution

The fourth proportional to 410,843.60, 616,265.40 and 144,904.40 is: 217,356.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,843.60 : 616,265.40 = 144,904.40 : x
  2. Step 2: Convert to fraction form
    410,843.60/616,265.40 = 144,904.40/x
  3. Step 3: Cross multiply
    410,843.60x = 616,265.40 × 144,904.40
  4. Step 4: Simplify right side
    410,843.60x = 89,299,568,027.76
  5. Step 5: Solve for x
    x = 89,299,568,027.76/410,843.60
  6. Step 6: Final answer
    x = 217,356.60

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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.