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Finding the Fourth Proportional to 471,036.54, 650,024.15 and 256,171.98

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Solution

The fourth proportional to 471,036.54, 650,024.15 and 256,171.98 is: 353,513.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,036.54 : 650,024.15 = 256,171.98 : x
  2. Step 2: Convert to fraction form
    471,036.54/650,024.15 = 256,171.98/x
  3. Step 3: Cross multiply
    471,036.54x = 650,024.15 × 256,171.98
  4. Step 4: Simplify right side
    471,036.54x = 166,517,972,272.46
  5. Step 5: Solve for x
    x = 166,517,972,272.46/471,036.54
  6. Step 6: Final answer
    x = 353,513.92

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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.