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Finding the Fourth Proportional to 403,894.70, 605,842.05 and 204,829.10

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Solution

The fourth proportional to 403,894.70, 605,842.05 and 204,829.10 is: 307,243.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,894.70 : 605,842.05 = 204,829.10 : x
  2. Step 2: Convert to fraction form
    403,894.70/605,842.05 = 204,829.10/x
  3. Step 3: Cross multiply
    403,894.70x = 605,842.05 × 204,829.10
  4. Step 4: Simplify right side
    403,894.70x = 124,094,081,843.66
  5. Step 5: Solve for x
    x = 124,094,081,843.66/403,894.70
  6. Step 6: Final answer
    x = 307,243.65

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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.