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Finding the Fourth Proportional to 470,886.22, 705,382.44 and 217,811.44

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Solution

The fourth proportional to 470,886.22, 705,382.44 and 217,811.44 is: 326,279.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,886.22 : 705,382.44 = 217,811.44 : x
  2. Step 2: Convert to fraction form
    470,886.22/705,382.44 = 217,811.44/x
  3. Step 3: Cross multiply
    470,886.22x = 705,382.44 × 217,811.44
  4. Step 4: Simplify right side
    470,886.22x = 153,640,365,007.11
  5. Step 5: Solve for x
    x = 153,640,365,007.11/470,886.22
  6. Step 6: Final answer
    x = 326,279.17

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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.