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Finding the Fourth Proportional to 410,896.80, 616,928.40 and 253,432.80

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Solution

The fourth proportional to 410,896.80, 616,928.40 and 253,432.80 is: 380,508.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,896.80 : 616,928.40 = 253,432.80 : x
  2. Step 2: Convert to fraction form
    410,896.80/616,928.40 = 253,432.80/x
  3. Step 3: Cross multiply
    410,896.80x = 616,928.40 × 253,432.80
  4. Step 4: Simplify right side
    410,896.80x = 156,349,891,811.52
  5. Step 5: Solve for x
    x = 156,349,891,811.52/410,896.80
  6. Step 6: Final answer
    x = 380,508.91

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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.