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Finding the Fourth Proportional to 502,981.38, 694,056.15 and 288,108.63

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Solution

The fourth proportional to 502,981.38, 694,056.15 and 288,108.63 is: 397,556.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,981.38 : 694,056.15 = 288,108.63 : x
  2. Step 2: Convert to fraction form
    502,981.38/694,056.15 = 288,108.63/x
  3. Step 3: Cross multiply
    502,981.38x = 694,056.15 × 288,108.63
  4. Step 4: Simplify right side
    502,981.38x = 199,963,566,519.58
  5. Step 5: Solve for x
    x = 199,963,566,519.58/502,981.38
  6. Step 6: Final answer
    x = 397,556.60

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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.