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Finding the Fourth Proportional to 214,976.70, 322,465.05 and 214,976.70

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Solution

The fourth proportional to 214,976.70, 322,465.05 and 214,976.70 is: 322,465.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,976.70 : 322,465.05 = 214,976.70 : x
  2. Step 2: Convert to fraction form
    214,976.70/322,465.05 = 214,976.70/x
  3. Step 3: Cross multiply
    214,976.70x = 322,465.05 × 214,976.70
  4. Step 4: Simplify right side
    214,976.70x = 69,322,472,314.34
  5. Step 5: Solve for x
    x = 69,322,472,314.34/214,976.70
  6. Step 6: Final answer
    x = 322,465.05

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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.