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Finding the Fourth Proportional to 522,711, 721,229.94 and 307,772.64

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Solution

The fourth proportional to 522,711, 721,229.94 and 307,772.64 is: 424,660.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,711 : 721,229.94 = 307,772.64 : x
  2. Step 2: Convert to fraction form
    522,711/721,229.94 = 307,772.64/x
  3. Step 3: Cross multiply
    522,711x = 721,229.94 × 307,772.64
  4. Step 4: Simplify right side
    522,711x = 221,974,842,680.84
  5. Step 5: Solve for x
    x = 221,974,842,680.84/522,711
  6. Step 6: Final answer
    x = 424,660.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.