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Finding the Fourth Proportional to 302,805.86, 417,872.48 and 164,984.13

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Solution

The fourth proportional to 302,805.86, 417,872.48 and 164,984.13 is: 227,678.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,805.86 : 417,872.48 = 164,984.13 : x
  2. Step 2: Convert to fraction form
    302,805.86/417,872.48 = 164,984.13/x
  3. Step 3: Cross multiply
    302,805.86x = 417,872.48 × 164,984.13
  4. Step 4: Simplify right side
    302,805.86x = 68,942,326,738.82
  5. Step 5: Solve for x
    x = 68,942,326,738.82/302,805.86
  6. Step 6: Final answer
    x = 227,678.31

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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.