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Finding the Fourth Proportional to 542,443.73, 813,074.47 and 463,317.89

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Solution

The fourth proportional to 542,443.73, 813,074.47 and 463,317.89 is: 694,471.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,443.73 : 813,074.47 = 463,317.89 : x
  2. Step 2: Convert to fraction form
    542,443.73/813,074.47 = 463,317.89/x
  3. Step 3: Cross multiply
    542,443.73x = 813,074.47 × 463,317.89
  4. Step 4: Simplify right side
    542,443.73x = 376,711,942,629.60
  5. Step 5: Solve for x
    x = 376,711,942,629.60/542,443.73
  6. Step 6: Final answer
    x = 694,471.93

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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.