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Finding the Fourth Proportional to 985,728.58, 1,478,646.68 and 311,759.57

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Solution

The fourth proportional to 985,728.58, 1,478,646.68 and 311,759.57 is: 467,656.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    985,728.58 : 1,478,646.68 = 311,759.57 : x
  2. Step 2: Convert to fraction form
    985,728.58/1,478,646.68 = 311,759.57/x
  3. Step 3: Cross multiply
    985,728.58x = 1,478,646.68 × 311,759.57
  4. Step 4: Simplify right side
    985,728.58x = 460,982,253,138.73
  5. Step 5: Solve for x
    x = 460,982,253,138.73/985,728.58
  6. Step 6: Final answer
    x = 467,656.37

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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.