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Finding the Fourth Proportional to 304,048.84, 419,370.06 and 232,304.72

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Solution

The fourth proportional to 304,048.84, 419,370.06 and 232,304.72 is: 320,414.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,048.84 : 419,370.06 = 232,304.72 : x
  2. Step 2: Convert to fraction form
    304,048.84/419,370.06 = 232,304.72/x
  3. Step 3: Cross multiply
    304,048.84x = 419,370.06 × 232,304.72
  4. Step 4: Simplify right side
    304,048.84x = 97,421,644,364.68
  5. Step 5: Solve for x
    x = 97,421,644,364.68/304,048.84
  6. Step 6: Final answer
    x = 320,414.46

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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.