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Finding the Fourth Proportional to 369,597.80, 510,044.87 and 208,452.49

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Solution

The fourth proportional to 369,597.80, 510,044.87 and 208,452.49 is: 287,664.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,597.80 : 510,044.87 = 208,452.49 : x
  2. Step 2: Convert to fraction form
    369,597.80/510,044.87 = 208,452.49/x
  3. Step 3: Cross multiply
    369,597.80x = 510,044.87 × 208,452.49
  4. Step 4: Simplify right side
    369,597.80x = 106,320,122,409.25
  5. Step 5: Solve for x
    x = 106,320,122,409.25/369,597.80
  6. Step 6: Final answer
    x = 287,664.38

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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.