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Finding the Fourth Proportional to 407,342.54, 610,934.70 and 204,884.66

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Solution

The fourth proportional to 407,342.54, 610,934.70 and 204,884.66 is: 307,287.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,342.54 : 610,934.70 = 204,884.66 : x
  2. Step 2: Convert to fraction form
    407,342.54/610,934.70 = 204,884.66/x
  3. Step 3: Cross multiply
    407,342.54x = 610,934.70 × 204,884.66
  4. Step 4: Simplify right side
    407,342.54x = 125,171,148,291.70
  5. Step 5: Solve for x
    x = 125,171,148,291.70/407,342.54
  6. Step 6: Final answer
    x = 307,287.20

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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.