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Finding the Fourth Proportional to 409,221.84, 564,754.53 and 248,083.68

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Solution

The fourth proportional to 409,221.84, 564,754.53 and 248,083.68 is: 342,372.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,221.84 : 564,754.53 = 248,083.68 : x
  2. Step 2: Convert to fraction form
    409,221.84/564,754.53 = 248,083.68/x
  3. Step 3: Cross multiply
    409,221.84x = 564,754.53 × 248,083.68
  4. Step 4: Simplify right side
    409,221.84x = 140,106,382,099.07
  5. Step 5: Solve for x
    x = 140,106,382,099.07/409,221.84
  6. Step 6: Final answer
    x = 342,372.69

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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.