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Finding the Fourth Proportional to 273,568, 409,511.16 and 233,211.68

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Solution

The fourth proportional to 273,568, 409,511.16 and 233,211.68 is: 349,100.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,568 : 409,511.16 = 233,211.68 : x
  2. Step 2: Convert to fraction form
    273,568/409,511.16 = 233,211.68/x
  3. Step 3: Cross multiply
    273,568x = 409,511.16 × 233,211.68
  4. Step 4: Simplify right side
    273,568x = 95,502,785,602.35
  5. Step 5: Solve for x
    x = 95,502,785,602.35/273,568
  6. Step 6: Final answer
    x = 349,100.72

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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.