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Finding the Fourth Proportional to 410,135.70, 615,203.55 and 335,340.30

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Solution

The fourth proportional to 410,135.70, 615,203.55 and 335,340.30 is: 503,010.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,135.70 : 615,203.55 = 335,340.30 : x
  2. Step 2: Convert to fraction form
    410,135.70/615,203.55 = 335,340.30/x
  3. Step 3: Cross multiply
    410,135.70x = 615,203.55 × 335,340.30
  4. Step 4: Simplify right side
    410,135.70x = 206,302,543,018.07
  5. Step 5: Solve for x
    x = 206,302,543,018.07/410,135.70
  6. Step 6: Final answer
    x = 503,010.45

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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.