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Finding the Fourth Proportional to 369,838.86, 510,372.64 and 206,497.88

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Solution

The fourth proportional to 369,838.86, 510,372.64 and 206,497.88 is: 284,964.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,838.86 : 510,372.64 = 206,497.88 : x
  2. Step 2: Convert to fraction form
    369,838.86/510,372.64 = 206,497.88/x
  3. Step 3: Cross multiply
    369,838.86x = 510,372.64 × 206,497.88
  4. Step 4: Simplify right side
    369,838.86x = 105,390,868,170.00
  5. Step 5: Solve for x
    x = 105,390,868,170.00/369,838.86
  6. Step 6: Final answer
    x = 284,964.29

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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.