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Finding the Fourth Proportional to 410,065.70, 615,098.55 and 335,270.30

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Solution

The fourth proportional to 410,065.70, 615,098.55 and 335,270.30 is: 502,905.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,065.70 : 615,098.55 = 335,270.30 : x
  2. Step 2: Convert to fraction form
    410,065.70/615,098.55 = 335,270.30/x
  3. Step 3: Cross multiply
    410,065.70x = 615,098.55 × 335,270.30
  4. Step 4: Simplify right side
    410,065.70x = 206,224,275,388.07
  5. Step 5: Solve for x
    x = 206,224,275,388.07/410,065.70
  6. Step 6: Final answer
    x = 502,905.45

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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.