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Finding the Fourth Proportional to 5,287,766.92, 7,929,200.92 and 4,274,398.60

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Solution

The fourth proportional to 5,287,766.92, 7,929,200.92 and 4,274,398.60 is: 6,409,617.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,287,766.92 : 7,929,200.92 = 4,274,398.60 : x
  2. Step 2: Convert to fraction form
    5,287,766.92/7,929,200.92 = 4,274,398.60/x
  3. Step 3: Cross multiply
    5,287,766.92x = 7,929,200.92 × 4,274,398.60
  4. Step 4: Simplify right side
    5,287,766.92x = 33,892,565,311,566.71
  5. Step 5: Solve for x
    x = 33,892,565,311,566.71/5,287,766.92
  6. Step 6: Final answer
    x = 6,409,617.86

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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.