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Finding the Fourth Proportional to 329,182.38, 454,467.47 and 208,427.18

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Solution

The fourth proportional to 329,182.38, 454,467.47 and 208,427.18 is: 287,753.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,182.38 : 454,467.47 = 208,427.18 : x
  2. Step 2: Convert to fraction form
    329,182.38/454,467.47 = 208,427.18/x
  3. Step 3: Cross multiply
    329,182.38x = 454,467.47 × 208,427.18
  4. Step 4: Simplify right side
    329,182.38x = 94,723,369,859.36
  5. Step 5: Solve for x
    x = 94,723,369,859.36/329,182.38
  6. Step 6: Final answer
    x = 287,753.46

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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.