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Finding the Fourth Proportional to 409,718.40, 615,499.20 and 394,051.20

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Solution

The fourth proportional to 409,718.40, 615,499.20 and 394,051.20 is: 591,963.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,718.40 : 615,499.20 = 394,051.20 : x
  2. Step 2: Convert to fraction form
    409,718.40/615,499.20 = 394,051.20/x
  3. Step 3: Cross multiply
    409,718.40x = 615,499.20 × 394,051.20
  4. Step 4: Simplify right side
    409,718.40x = 242,538,198,359.04
  5. Step 5: Solve for x
    x = 242,538,198,359.04/409,718.40
  6. Step 6: Final answer
    x = 591,963.16

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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.