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Finding the Fourth Proportional to 680,016, 1,020,023.52 and 323,951.04

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Solution

The fourth proportional to 680,016, 1,020,023.52 and 323,951.04 is: 485,926.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,016 : 1,020,023.52 = 323,951.04 : x
  2. Step 2: Convert to fraction form
    680,016/1,020,023.52 = 323,951.04/x
  3. Step 3: Cross multiply
    680,016x = 1,020,023.52 × 323,951.04
  4. Step 4: Simplify right side
    680,016x = 330,437,680,128.46
  5. Step 5: Solve for x
    x = 330,437,680,128.46/680,016
  6. Step 6: Final answer
    x = 485,926.33

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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.