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Finding the Fourth Proportional to 456,924.30, 684,900.45 and 220,112.70

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Solution

The fourth proportional to 456,924.30, 684,900.45 and 220,112.70 is: 329,934.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,924.30 : 684,900.45 = 220,112.70 : x
  2. Step 2: Convert to fraction form
    456,924.30/684,900.45 = 220,112.70/x
  3. Step 3: Cross multiply
    456,924.30x = 684,900.45 × 220,112.70
  4. Step 4: Simplify right side
    456,924.30x = 150,755,287,280.72
  5. Step 5: Solve for x
    x = 150,755,287,280.72/456,924.30
  6. Step 6: Final answer
    x = 329,934.93

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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.