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Finding the Fourth Proportional to 357,852.09, 493,836.92 and 204,892.64

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Solution

The fourth proportional to 357,852.09, 493,836.92 and 204,892.64 is: 282,752.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,852.09 : 493,836.92 = 204,892.64 : x
  2. Step 2: Convert to fraction form
    357,852.09/493,836.92 = 204,892.64/x
  3. Step 3: Cross multiply
    357,852.09x = 493,836.92 × 204,892.64
  4. Step 4: Simplify right side
    357,852.09x = 101,183,549,394.86
  5. Step 5: Solve for x
    x = 101,183,549,394.86/357,852.09
  6. Step 6: Final answer
    x = 282,752.43

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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.