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Finding the Fourth Proportional to 502,521.99, 693,539.31 and 298,574.58

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Solution

The fourth proportional to 502,521.99, 693,539.31 and 298,574.58 is: 412,067.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,521.99 : 693,539.31 = 298,574.58 : x
  2. Step 2: Convert to fraction form
    502,521.99/693,539.31 = 298,574.58/x
  3. Step 3: Cross multiply
    502,521.99x = 693,539.31 × 298,574.58
  4. Step 4: Simplify right side
    502,521.99x = 207,073,208,196.74
  5. Step 5: Solve for x
    x = 207,073,208,196.74/502,521.99
  6. Step 6: Final answer
    x = 412,067.95

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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.