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Finding the Fourth Proportional to 471,386.92, 650,328.06 and 349,177

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Solution

The fourth proportional to 471,386.92, 650,328.06 and 349,177 is: 481,726.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,386.92 : 650,328.06 = 349,177 : x
  2. Step 2: Convert to fraction form
    471,386.92/650,328.06 = 349,177/x
  3. Step 3: Cross multiply
    471,386.92x = 650,328.06 × 349,177
  4. Step 4: Simplify right side
    471,386.92x = 227,079,601,006.62
  5. Step 5: Solve for x
    x = 227,079,601,006.62/471,386.92
  6. Step 6: Final answer
    x = 481,726.56

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Why These Related Problems?

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