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Finding the Fourth Proportional to 407,065.38, 610,473.69 and 281,512.50

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Solution

The fourth proportional to 407,065.38, 610,473.69 and 281,512.50 is: 422,182.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,065.38 : 610,473.69 = 281,512.50 : x
  2. Step 2: Convert to fraction form
    407,065.38/610,473.69 = 281,512.50/x
  3. Step 3: Cross multiply
    407,065.38x = 610,473.69 × 281,512.50
  4. Step 4: Simplify right side
    407,065.38x = 171,855,974,656.13
  5. Step 5: Solve for x
    x = 171,855,974,656.13/407,065.38
  6. Step 6: Final answer
    x = 422,182.73

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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.