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Finding the Fourth Proportional to 823,657.60, 1,234,903.20 and 318,023.20

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Solution

The fourth proportional to 823,657.60, 1,234,903.20 and 318,023.20 is: 476,809.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,657.60 : 1,234,903.20 = 318,023.20 : x
  2. Step 2: Convert to fraction form
    823,657.60/1,234,903.20 = 318,023.20/x
  3. Step 3: Cross multiply
    823,657.60x = 1,234,903.20 × 318,023.20
  4. Step 4: Simplify right side
    823,657.60x = 392,727,867,354.24
  5. Step 5: Solve for x
    x = 392,727,867,354.24/823,657.60
  6. Step 6: Final answer
    x = 476,809.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.