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Finding the Fourth Proportional to 369,847.74, 510,384.89 and 206,506.77

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Solution

The fourth proportional to 369,847.74, 510,384.89 and 206,506.77 is: 284,976.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,847.74 : 510,384.89 = 206,506.77 : x
  2. Step 2: Convert to fraction form
    369,847.74/510,384.89 = 206,506.77/x
  3. Step 3: Cross multiply
    369,847.74x = 510,384.89 × 206,506.77
  4. Step 4: Simplify right side
    369,847.74x = 105,397,934,058.17
  5. Step 5: Solve for x
    x = 105,397,934,058.17/369,847.74
  6. Step 6: Final answer
    x = 284,976.55

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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.