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Finding the Fourth Proportional to 296,217.36, 408,354.84 and 211,186.80

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Solution

The fourth proportional to 296,217.36, 408,354.84 and 211,186.80 is: 291,134.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,217.36 : 408,354.84 = 211,186.80 : x
  2. Step 2: Convert to fraction form
    296,217.36/408,354.84 = 211,186.80/x
  3. Step 3: Cross multiply
    296,217.36x = 408,354.84 × 211,186.80
  4. Step 4: Simplify right side
    296,217.36x = 86,239,151,924.11
  5. Step 5: Solve for x
    x = 86,239,151,924.11/296,217.36
  6. Step 6: Final answer
    x = 291,134.70

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