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Finding the Fourth Proportional to 366,919.88, 506,350.34 and 214,063.16

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Solution

The fourth proportional to 366,919.88, 506,350.34 and 214,063.16 is: 295,407.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,919.88 : 506,350.34 = 214,063.16 : x
  2. Step 2: Convert to fraction form
    366,919.88/506,350.34 = 214,063.16/x
  3. Step 3: Cross multiply
    366,919.88x = 506,350.34 × 214,063.16
  4. Step 4: Simplify right side
    366,919.88x = 108,390,951,048.14
  5. Step 5: Solve for x
    x = 108,390,951,048.14/366,919.88
  6. Step 6: Final answer
    x = 295,407.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.