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Finding the Fourth Proportional to 349,854.05, 482,864.65 and 219,092.46

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Solution

The fourth proportional to 349,854.05, 482,864.65 and 219,092.46 is: 302,388.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,854.05 : 482,864.65 = 219,092.46 : x
  2. Step 2: Convert to fraction form
    349,854.05/482,864.65 = 219,092.46/x
  3. Step 3: Cross multiply
    349,854.05x = 482,864.65 × 219,092.46
  4. Step 4: Simplify right side
    349,854.05x = 105,792,006,932.22
  5. Step 5: Solve for x
    x = 105,792,006,932.22/349,854.05
  6. Step 6: Final answer
    x = 302,388.97

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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.