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Finding the Fourth Proportional to 369,699.88, 510,184.02 and 199,933.60

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Solution

The fourth proportional to 369,699.88, 510,184.02 and 199,933.60 is: 275,907.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,699.88 : 510,184.02 = 199,933.60 : x
  2. Step 2: Convert to fraction form
    369,699.88/510,184.02 = 199,933.60/x
  3. Step 3: Cross multiply
    369,699.88x = 510,184.02 × 199,933.60
  4. Step 4: Simplify right side
    369,699.88x = 102,002,927,781.07
  5. Step 5: Solve for x
    x = 102,002,927,781.07/369,699.88
  6. Step 6: Final answer
    x = 275,907.39

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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.