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Finding the Fourth Proportional to 414,153.10, 621,229.65 and 366,913.90

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Solution

The fourth proportional to 414,153.10, 621,229.65 and 366,913.90 is: 550,370.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,153.10 : 621,229.65 = 366,913.90 : x
  2. Step 2: Convert to fraction form
    414,153.10/621,229.65 = 366,913.90/x
  3. Step 3: Cross multiply
    414,153.10x = 621,229.65 × 366,913.90
  4. Step 4: Simplify right side
    414,153.10x = 227,937,793,677.14
  5. Step 5: Solve for x
    x = 227,937,793,677.14/414,153.10
  6. Step 6: Final answer
    x = 550,370.85

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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.