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Finding the Fourth Proportional to 369,177.82, 509,465.42 and 199,411.95

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Solution

The fourth proportional to 369,177.82, 509,465.42 and 199,411.95 is: 275,188.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,177.82 : 509,465.42 = 199,411.95 : x
  2. Step 2: Convert to fraction form
    369,177.82/509,465.42 = 199,411.95/x
  3. Step 3: Cross multiply
    369,177.82x = 509,465.42 × 199,411.95
  4. Step 4: Simplify right side
    369,177.82x = 101,593,492,859.77
  5. Step 5: Solve for x
    x = 101,593,492,859.77/369,177.82
  6. Step 6: Final answer
    x = 275,188.51

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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.