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Finding the Fourth Proportional to 410,822.70, 616,234.05 and 130,368.30

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Solution

The fourth proportional to 410,822.70, 616,234.05 and 130,368.30 is: 195,552.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,822.70 : 616,234.05 = 130,368.30 : x
  2. Step 2: Convert to fraction form
    410,822.70/616,234.05 = 130,368.30/x
  3. Step 3: Cross multiply
    410,822.70x = 616,234.05 × 130,368.30
  4. Step 4: Simplify right side
    410,822.70x = 80,337,385,500.62
  5. Step 5: Solve for x
    x = 80,337,385,500.62/410,822.70
  6. Step 6: Final answer
    x = 195,552.45

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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.