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Finding the Fourth Proportional to 329,206.50, 454,304.97 and 178,303.50

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Solution

The fourth proportional to 329,206.50, 454,304.97 and 178,303.50 is: 246,058.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,206.50 : 454,304.97 = 178,303.50 : x
  2. Step 2: Convert to fraction form
    329,206.50/454,304.97 = 178,303.50/x
  3. Step 3: Cross multiply
    329,206.50x = 454,304.97 × 178,303.50
  4. Step 4: Simplify right side
    329,206.50x = 81,004,166,218.40
  5. Step 5: Solve for x
    x = 81,004,166,218.40/329,206.50
  6. Step 6: Final answer
    x = 246,058.83

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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.