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Finding the Fourth Proportional to 785,686, 1,178,529 and 194,710

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Solution

The fourth proportional to 785,686, 1,178,529 and 194,710 is: 292,065

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,686 : 1,178,529 = 194,710 : x
  2. Step 2: Convert to fraction form
    785,686/1,178,529 = 194,710/x
  3. Step 3: Cross multiply
    785,686x = 1,178,529 × 194,710
  4. Step 4: Simplify right side
    785,686x = 229,471,381,590
  5. Step 5: Solve for x
    x = 229,471,381,590/785,686
  6. Step 6: Final answer
    x = 292,065

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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.