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Finding the Fourth Proportional to 409,900.30, 614,522.40 and 173,048.20

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Solution

The fourth proportional to 409,900.30, 614,522.40 and 173,048.20 is: 259,433.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,900.30 : 614,522.40 = 173,048.20 : x
  2. Step 2: Convert to fraction form
    409,900.30/614,522.40 = 173,048.20/x
  3. Step 3: Cross multiply
    409,900.30x = 614,522.40 × 173,048.20
  4. Step 4: Simplify right side
    409,900.30x = 106,341,995,179.68
  5. Step 5: Solve for x
    x = 106,341,995,179.68/409,900.30
  6. Step 6: Final answer
    x = 259,433.81

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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.