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Finding the Fourth Proportional to 470,054.96, 704,932.92 and 154,438.64

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Solution

The fourth proportional to 470,054.96, 704,932.92 and 154,438.64 is: 231,608.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,054.96 : 704,932.92 = 154,438.64 : x
  2. Step 2: Convert to fraction form
    470,054.96/704,932.92 = 154,438.64/x
  3. Step 3: Cross multiply
    470,054.96x = 704,932.92 × 154,438.64
  4. Step 4: Simplify right side
    470,054.96x = 108,868,881,456.03
  5. Step 5: Solve for x
    x = 108,868,881,456.03/470,054.96
  6. Step 6: Final answer
    x = 231,608.83

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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.