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Finding the Fourth Proportional to 296,212.08, 408,347.51 and 211,181.52

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Solution

The fourth proportional to 296,212.08, 408,347.51 and 211,181.52 is: 291,127.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,212.08 : 408,347.51 = 211,181.52 : x
  2. Step 2: Convert to fraction form
    296,212.08/408,347.51 = 211,181.52/x
  3. Step 3: Cross multiply
    296,212.08x = 408,347.51 × 211,181.52
  4. Step 4: Simplify right side
    296,212.08x = 86,235,446,794.11
  5. Step 5: Solve for x
    x = 86,235,446,794.11/296,212.08
  6. Step 6: Final answer
    x = 291,127.38

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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.