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Finding the Fourth Proportional to 470,179.72, 705,388.92 and 217,642.24

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Solution

The fourth proportional to 470,179.72, 705,388.92 and 217,642.24 is: 326,518.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,179.72 : 705,388.92 = 217,642.24 : x
  2. Step 2: Convert to fraction form
    470,179.72/705,388.92 = 217,642.24/x
  3. Step 3: Cross multiply
    470,179.72x = 705,388.92 × 217,642.24
  4. Step 4: Simplify right side
    470,179.72x = 153,522,424,619.98
  5. Step 5: Solve for x
    x = 153,522,424,619.98/470,179.72
  6. Step 6: Final answer
    x = 326,518.60

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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.