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Finding the Fourth Proportional to 410,418.30, 615,627.45 and 233,271.30

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Solution

The fourth proportional to 410,418.30, 615,627.45 and 233,271.30 is: 349,906.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,418.30 : 615,627.45 = 233,271.30 : x
  2. Step 2: Convert to fraction form
    410,418.30/615,627.45 = 233,271.30/x
  3. Step 3: Cross multiply
    410,418.30x = 615,627.45 × 233,271.30
  4. Step 4: Simplify right side
    410,418.30x = 143,608,215,577.19
  5. Step 5: Solve for x
    x = 143,608,215,577.19/410,418.30
  6. Step 6: Final answer
    x = 349,906.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.