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Finding the Fourth Proportional to 301,909.48, 416,195.98 and 210,983.14

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Solution

The fourth proportional to 301,909.48, 416,195.98 and 210,983.14 is: 290,849.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,909.48 : 416,195.98 = 210,983.14 : x
  2. Step 2: Convert to fraction form
    301,909.48/416,195.98 = 210,983.14/x
  3. Step 3: Cross multiply
    301,909.48x = 416,195.98 × 210,983.14
  4. Step 4: Simplify right side
    301,909.48x = 87,810,334,715.78
  5. Step 5: Solve for x
    x = 87,810,334,715.78/301,909.48
  6. Step 6: Final answer
    x = 290,849.88

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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.