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Finding the Fourth Proportional to 369,527.76, 509,948.60 and 199,761.84

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Solution

The fourth proportional to 369,527.76, 509,948.60 and 199,761.84 is: 275,671.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,527.76 : 509,948.60 = 199,761.84 : x
  2. Step 2: Convert to fraction form
    369,527.76/509,948.60 = 199,761.84/x
  3. Step 3: Cross multiply
    369,527.76x = 509,948.60 × 199,761.84
  4. Step 4: Simplify right side
    369,527.76x = 101,868,269,642.62
  5. Step 5: Solve for x
    x = 101,868,269,642.62/369,527.76
  6. Step 6: Final answer
    x = 275,671.49

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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.