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Finding the Fourth Proportional to 470,458.72, 705,793.92 and 154,904.32

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Solution

The fourth proportional to 470,458.72, 705,793.92 and 154,904.32 is: 232,391.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,458.72 : 705,793.92 = 154,904.32 : x
  2. Step 2: Convert to fraction form
    470,458.72/705,793.92 = 154,904.32/x
  3. Step 3: Cross multiply
    470,458.72x = 705,793.92 × 154,904.32
  4. Step 4: Simplify right side
    470,458.72x = 109,330,527,237.73
  5. Step 5: Solve for x
    x = 109,330,527,237.73/470,458.72
  6. Step 6: Final answer
    x = 232,391.33

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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.