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Finding the Fourth Proportional to 410,141.70, 615,212.55 and 335,346.30

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Solution

The fourth proportional to 410,141.70, 615,212.55 and 335,346.30 is: 503,019.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,141.70 : 615,212.55 = 335,346.30 : x
  2. Step 2: Convert to fraction form
    410,141.70/615,212.55 = 335,346.30/x
  3. Step 3: Cross multiply
    410,141.70x = 615,212.55 × 335,346.30
  4. Step 4: Simplify right side
    410,141.70x = 206,309,252,356.07
  5. Step 5: Solve for x
    x = 206,309,252,356.07/410,141.70
  6. Step 6: Final answer
    x = 503,019.45

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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.