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Finding the Fourth Proportional to 410,847.80, 616,271.70 and 144,606.20

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Solution

The fourth proportional to 410,847.80, 616,271.70 and 144,606.20 is: 216,909.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,847.80 : 616,271.70 = 144,606.20 : x
  2. Step 2: Convert to fraction form
    410,847.80/616,271.70 = 144,606.20/x
  3. Step 3: Cross multiply
    410,847.80x = 616,271.70 × 144,606.20
  4. Step 4: Simplify right side
    410,847.80x = 89,116,708,704.54
  5. Step 5: Solve for x
    x = 89,116,708,704.54/410,847.80
  6. Step 6: Final answer
    x = 216,909.30

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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.