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Finding the Fourth Proportional to 403,930.90, 605,896.35 and 341,722.90

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Solution

The fourth proportional to 403,930.90, 605,896.35 and 341,722.90 is: 512,584.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,930.90 : 605,896.35 = 341,722.90 : x
  2. Step 2: Convert to fraction form
    403,930.90/605,896.35 = 341,722.90/x
  3. Step 3: Cross multiply
    403,930.90x = 605,896.35 × 341,722.90
  4. Step 4: Simplify right side
    403,930.90x = 207,048,657,821.42
  5. Step 5: Solve for x
    x = 207,048,657,821.42/403,930.90
  6. Step 6: Final answer
    x = 512,584.35

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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.