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Finding the Fourth Proportional to 357,841.86, 493,832.42 and 204,929.52

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Solution

The fourth proportional to 357,841.86, 493,832.42 and 204,929.52 is: 282,808.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,841.86 : 493,832.42 = 204,929.52 : x
  2. Step 2: Convert to fraction form
    357,841.86/493,832.42 = 204,929.52/x
  3. Step 3: Cross multiply
    357,841.86x = 493,832.42 × 204,929.52
  4. Step 4: Simplify right side
    357,841.86x = 101,200,840,791.04
  5. Step 5: Solve for x
    x = 101,200,840,791.04/357,841.86
  6. Step 6: Final answer
    x = 282,808.84

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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.