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Finding the Fourth Proportional to 403,902.40, 605,853.60 and 341,694.40

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Solution

The fourth proportional to 403,902.40, 605,853.60 and 341,694.40 is: 512,541.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,902.40 : 605,853.60 = 341,694.40 : x
  2. Step 2: Convert to fraction form
    403,902.40/605,853.60 = 341,694.40/x
  3. Step 3: Cross multiply
    403,902.40x = 605,853.60 × 341,694.40
  4. Step 4: Simplify right side
    403,902.40x = 207,016,782,339.84
  5. Step 5: Solve for x
    x = 207,016,782,339.84/403,902.40
  6. Step 6: Final answer
    x = 512,541.60

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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.