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Finding the Fourth Proportional to 409,301.40, 614,873.70 and 393,634.20

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Solution

The fourth proportional to 409,301.40, 614,873.70 and 393,634.20 is: 591,337.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,301.40 : 614,873.70 = 393,634.20 : x
  2. Step 2: Convert to fraction form
    409,301.40/614,873.70 = 393,634.20/x
  3. Step 3: Cross multiply
    409,301.40x = 614,873.70 × 393,634.20
  4. Step 4: Simplify right side
    409,301.40x = 242,035,317,000.54
  5. Step 5: Solve for x
    x = 242,035,317,000.54/409,301.40
  6. Step 6: Final answer
    x = 591,337.62

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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.