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Finding the Fourth Proportional to 366,913.92, 506,306.12 and 205,732

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Solution

The fourth proportional to 366,913.92, 506,306.12 and 205,732 is: 283,890.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,913.92 : 506,306.12 = 205,732 : x
  2. Step 2: Convert to fraction form
    366,913.92/506,306.12 = 205,732/x
  3. Step 3: Cross multiply
    366,913.92x = 506,306.12 × 205,732
  4. Step 4: Simplify right side
    366,913.92x = 104,163,370,679.84
  5. Step 5: Solve for x
    x = 104,163,370,679.84/366,913.92
  6. Step 6: Final answer
    x = 283,890.48

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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.