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Finding the Fourth Proportional to 357,747.82, 493,758.50 and 204,786.01

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Solution

The fourth proportional to 357,747.82, 493,758.50 and 204,786.01 is: 282,642.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,747.82 : 493,758.50 = 204,786.01 : x
  2. Step 2: Convert to fraction form
    357,747.82/493,758.50 = 204,786.01/x
  3. Step 3: Cross multiply
    357,747.82x = 493,758.50 × 204,786.01
  4. Step 4: Simplify right side
    357,747.82x = 101,114,832,094.66
  5. Step 5: Solve for x
    x = 101,114,832,094.66/357,747.82
  6. Step 6: Final answer
    x = 282,642.76

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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.