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Finding the Fourth Proportional to 469,561.81, 704,398.87 and 165,893.10

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Solution

The fourth proportional to 469,561.81, 704,398.87 and 165,893.10 is: 248,859.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,561.81 : 704,398.87 = 165,893.10 : x
  2. Step 2: Convert to fraction form
    469,561.81/704,398.87 = 165,893.10/x
  3. Step 3: Cross multiply
    469,561.81x = 704,398.87 × 165,893.10
  4. Step 4: Simplify right side
    469,561.81x = 116,854,912,485.06
  5. Step 5: Solve for x
    x = 116,854,912,485.06/469,561.81
  6. Step 6: Final answer
    x = 248,859.49

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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.