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Finding the Fourth Proportional to 329,532.48, 454,587.66 and 208,469.88

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Solution

The fourth proportional to 329,532.48, 454,587.66 and 208,469.88 is: 287,582.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,532.48 : 454,587.66 = 208,469.88 : x
  2. Step 2: Convert to fraction form
    329,532.48/454,587.66 = 208,469.88/x
  3. Step 3: Cross multiply
    329,532.48x = 454,587.66 × 208,469.88
  4. Step 4: Simplify right side
    329,532.48x = 94,767,834,929.68
  5. Step 5: Solve for x
    x = 94,767,834,929.68/329,532.48
  6. Step 6: Final answer
    x = 287,582.68

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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.