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Finding the Fourth Proportional to 470,456.72, 705,790.92 and 154,902.32

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Solution

The fourth proportional to 470,456.72, 705,790.92 and 154,902.32 is: 232,388.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,456.72 : 705,790.92 = 154,902.32 : x
  2. Step 2: Convert to fraction form
    470,456.72/705,790.92 = 154,902.32/x
  3. Step 3: Cross multiply
    470,456.72x = 705,790.92 × 154,902.32
  4. Step 4: Simplify right side
    470,456.72x = 109,328,650,942.93
  5. Step 5: Solve for x
    x = 109,328,650,942.93/470,456.72
  6. Step 6: Final answer
    x = 232,388.33

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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.