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Finding the Fourth Proportional to 668,085.84, 1,002,218.94 and 194,767.47

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Solution

The fourth proportional to 668,085.84, 1,002,218.94 and 194,767.47 is: 292,177.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,085.84 : 1,002,218.94 = 194,767.47 : x
  2. Step 2: Convert to fraction form
    668,085.84/1,002,218.94 = 194,767.47/x
  3. Step 3: Cross multiply
    668,085.84x = 1,002,218.94 × 194,767.47
  4. Step 4: Simplify right side
    668,085.84x = 195,199,647,329.88
  5. Step 5: Solve for x
    x = 195,199,647,329.88/668,085.84
  6. Step 6: Final answer
    x = 292,177.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.