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Finding the Fourth Proportional to 470,289.93, 704,951.73 and 185,864.91

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Solution

The fourth proportional to 470,289.93, 704,951.73 and 185,864.91 is: 278,606.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,289.93 : 704,951.73 = 185,864.91 : x
  2. Step 2: Convert to fraction form
    470,289.93/704,951.73 = 185,864.91/x
  3. Step 3: Cross multiply
    470,289.93x = 704,951.73 × 185,864.91
  4. Step 4: Simplify right side
    470,289.93x = 131,025,789,850.79
  5. Step 5: Solve for x
    x = 131,025,789,850.79/470,289.93
  6. Step 6: Final answer
    x = 278,606.41

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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.