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Finding the Fourth Proportional to 447,647.52, 671,471.35 and 148,047.68

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Solution

The fourth proportional to 447,647.52, 671,471.35 and 148,047.68 is: 222,071.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,647.52 : 671,471.35 = 148,047.68 : x
  2. Step 2: Convert to fraction form
    447,647.52/671,471.35 = 148,047.68/x
  3. Step 3: Cross multiply
    447,647.52x = 671,471.35 × 148,047.68
  4. Step 4: Simplify right side
    447,647.52x = 99,409,775,553.97
  5. Step 5: Solve for x
    x = 99,409,775,553.97/447,647.52
  6. Step 6: Final answer
    x = 222,071.54

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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.