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Finding the Fourth Proportional to 346,727.31, 478,304.37 and 219,476.73

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Solution

The fourth proportional to 346,727.31, 478,304.37 and 219,476.73 is: 302,764.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,727.31 : 478,304.37 = 219,476.73 : x
  2. Step 2: Convert to fraction form
    346,727.31/478,304.37 = 219,476.73/x
  3. Step 3: Cross multiply
    346,727.31x = 478,304.37 × 219,476.73
  4. Step 4: Simplify right side
    346,727.31x = 104,976,679,072.31
  5. Step 5: Solve for x
    x = 104,976,679,072.31/346,727.31
  6. Step 6: Final answer
    x = 302,764.38

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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.