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Finding the Fourth Proportional to 369,227.82, 509,527.34 and 208,079.63

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Solution

The fourth proportional to 369,227.82, 509,527.34 and 208,079.63 is: 287,145.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,227.82 : 509,527.34 = 208,079.63 : x
  2. Step 2: Convert to fraction form
    369,227.82/509,527.34 = 208,079.63/x
  3. Step 3: Cross multiply
    369,227.82x = 509,527.34 × 208,079.63
  4. Step 4: Simplify right side
    369,227.82x = 106,022,261,765.94
  5. Step 5: Solve for x
    x = 106,022,261,765.94/369,227.82
  6. Step 6: Final answer
    x = 287,145.92

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1.5x scale

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.