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Finding the Fourth Proportional to 470,614.08, 705,342.78 and 217,552.26

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Solution

The fourth proportional to 470,614.08, 705,342.78 and 217,552.26 is: 326,061.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,614.08 : 705,342.78 = 217,552.26 : x
  2. Step 2: Convert to fraction form
    470,614.08/705,342.78 = 217,552.26/x
  3. Step 3: Cross multiply
    470,614.08x = 705,342.78 × 217,552.26
  4. Step 4: Simplify right side
    470,614.08x = 153,448,915,863.68
  5. Step 5: Solve for x
    x = 153,448,915,863.68/470,614.08
  6. Step 6: Final answer
    x = 326,061.04

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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.