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Finding the Fourth Proportional to 357,851.33, 493,835.86 and 204,891.87

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Solution

The fourth proportional to 357,851.33, 493,835.86 and 204,891.87 is: 282,751.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,851.33 : 493,835.86 = 204,891.87 : x
  2. Step 2: Convert to fraction form
    357,851.33/493,835.86 = 204,891.87/x
  3. Step 3: Cross multiply
    357,851.33x = 493,835.86 × 204,891.87
  4. Step 4: Simplify right side
    357,851.33x = 101,182,952,828.46
  5. Step 5: Solve for x
    x = 101,182,952,828.46/357,851.33
  6. Step 6: Final answer
    x = 282,751.37

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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.