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Finding the Fourth Proportional to 410,561.46, 616,155.05 and 330,794.28

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Solution

The fourth proportional to 410,561.46, 616,155.05 and 330,794.28 is: 496,443.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,561.46 : 616,155.05 = 330,794.28 : x
  2. Step 2: Convert to fraction form
    410,561.46/616,155.05 = 330,794.28/x
  3. Step 3: Cross multiply
    410,561.46x = 616,155.05 × 330,794.28
  4. Step 4: Simplify right side
    410,561.46x = 203,820,566,960.10
  5. Step 5: Solve for x
    x = 203,820,566,960.10/410,561.46
  6. Step 6: Final answer
    x = 496,443.50

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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.