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Finding the Fourth Proportional to 357,851.21, 493,835.69 and 204,891.75

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Solution

The fourth proportional to 357,851.21, 493,835.69 and 204,891.75 is: 282,751.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,851.21 : 493,835.69 = 204,891.75 : x
  2. Step 2: Convert to fraction form
    357,851.21/493,835.69 = 204,891.75/x
  3. Step 3: Cross multiply
    357,851.21x = 493,835.69 × 204,891.75
  4. Step 4: Simplify right side
    357,851.21x = 101,182,856,267.38
  5. Step 5: Solve for x
    x = 101,182,856,267.38/357,851.21
  6. Step 6: Final answer
    x = 282,751.19

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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.