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Finding the Fourth Proportional to 289,415.84, 431,557.36 and 270,111.92

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Solution

The fourth proportional to 289,415.84, 431,557.36 and 270,111.92 is: 402,772.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,415.84 : 431,557.36 = 270,111.92 : x
  2. Step 2: Convert to fraction form
    289,415.84/431,557.36 = 270,111.92/x
  3. Step 3: Cross multiply
    289,415.84x = 431,557.36 × 270,111.92
  4. Step 4: Simplify right side
    289,415.84x = 116,568,787,099.73
  5. Step 5: Solve for x
    x = 116,568,787,099.73/289,415.84
  6. Step 6: Final answer
    x = 402,772.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.