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Finding the Fourth Proportional to 369,098.88, 509,356.41 and 199,332.96

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Solution

The fourth proportional to 369,098.88, 509,356.41 and 199,332.96 is: 275,079.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,098.88 : 509,356.41 = 199,332.96 : x
  2. Step 2: Convert to fraction form
    369,098.88/509,356.41 = 199,332.96/x
  3. Step 3: Cross multiply
    369,098.88x = 509,356.41 × 199,332.96
  4. Step 4: Simplify right side
    369,098.88x = 101,531,520,900.27
  5. Step 5: Solve for x
    x = 101,531,520,900.27/369,098.88
  6. Step 6: Final answer
    x = 275,079.46

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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.