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Finding the Fourth Proportional to 329,442, 454,678.76 and 208,594.52

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Solution

The fourth proportional to 329,442, 454,678.76 and 208,594.52 is: 287,891.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,442 : 454,678.76 = 208,594.52 : x
  2. Step 2: Convert to fraction form
    329,442/454,678.76 = 208,594.52/x
  3. Step 3: Cross multiply
    329,442x = 454,678.76 × 208,594.52
  4. Step 4: Simplify right side
    329,442x = 94,843,497,696.40
  5. Step 5: Solve for x
    x = 94,843,497,696.40/329,442
  6. Step 6: Final answer
    x = 287,891.34

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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.