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Finding the Fourth Proportional to 329,458, 454,700.84 and 208,610.52

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Solution

The fourth proportional to 329,458, 454,700.84 and 208,610.52 is: 287,913.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,458 : 454,700.84 = 208,610.52 : x
  2. Step 2: Convert to fraction form
    329,458/454,700.84 = 208,610.52/x
  3. Step 3: Cross multiply
    329,458x = 454,700.84 × 208,610.52
  4. Step 4: Simplify right side
    329,458x = 94,855,378,676.84
  5. Step 5: Solve for x
    x = 94,855,378,676.84/329,458
  6. Step 6: Final answer
    x = 287,913.42

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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.