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Finding the Fourth Proportional to 469,876.80, 704,944.80 and 233,227.20

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Solution

The fourth proportional to 469,876.80, 704,944.80 and 233,227.20 is: 349,905.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,876.80 : 704,944.80 = 233,227.20 : x
  2. Step 2: Convert to fraction form
    469,876.80/704,944.80 = 233,227.20/x
  3. Step 3: Cross multiply
    469,876.80x = 704,944.80 × 233,227.20
  4. Step 4: Simplify right side
    469,876.80x = 164,412,301,858.56
  5. Step 5: Solve for x
    x = 164,412,301,858.56/469,876.80
  6. Step 6: Final answer
    x = 349,905.13

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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.