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Finding the Fourth Proportional to 410,856.80, 616,342.80 and 161,480.80

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Solution

The fourth proportional to 410,856.80, 616,342.80 and 161,480.80 is: 242,243.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,856.80 : 616,342.80 = 161,480.80 : x
  2. Step 2: Convert to fraction form
    410,856.80/616,342.80 = 161,480.80/x
  3. Step 3: Cross multiply
    410,856.80x = 616,342.80 × 161,480.80
  4. Step 4: Simplify right side
    410,856.80x = 99,527,528,418.24
  5. Step 5: Solve for x
    x = 99,527,528,418.24/410,856.80
  6. Step 6: Final answer
    x = 242,243.84

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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.