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Finding the Fourth Proportional to 410,811.40, 616,217.10 and 189,627.40

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Solution

The fourth proportional to 410,811.40, 616,217.10 and 189,627.40 is: 284,441.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,811.40 : 616,217.10 = 189,627.40 : x
  2. Step 2: Convert to fraction form
    410,811.40/616,217.10 = 189,627.40/x
  3. Step 3: Cross multiply
    410,811.40x = 616,217.10 × 189,627.40
  4. Step 4: Simplify right side
    410,811.40x = 116,851,646,508.54
  5. Step 5: Solve for x
    x = 116,851,646,508.54/410,811.40
  6. Step 6: Final answer
    x = 284,441.10

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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.