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Finding the Fourth Proportional to 414,098.16, 620,513.67 and 278,660.67

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Solution

The fourth proportional to 414,098.16, 620,513.67 and 278,660.67 is: 417,564.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,098.16 : 620,513.67 = 278,660.67 : x
  2. Step 2: Convert to fraction form
    414,098.16/620,513.67 = 278,660.67/x
  3. Step 3: Cross multiply
    414,098.16x = 620,513.67 × 278,660.67
  4. Step 4: Simplify right side
    414,098.16x = 172,912,755,026.36
  5. Step 5: Solve for x
    x = 172,912,755,026.36/414,098.16
  6. Step 6: Final answer
    x = 417,564.65

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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.