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Finding the Fourth Proportional to 373,971.76, 516,080.98 and 204,206.04

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Solution

The fourth proportional to 373,971.76, 516,080.98 and 204,206.04 is: 281,804.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,971.76 : 516,080.98 = 204,206.04 : x
  2. Step 2: Convert to fraction form
    373,971.76/516,080.98 = 204,206.04/x
  3. Step 3: Cross multiply
    373,971.76x = 516,080.98 × 204,206.04
  4. Step 4: Simplify right side
    373,971.76x = 105,386,853,245.12
  5. Step 5: Solve for x
    x = 105,386,853,245.12/373,971.76
  6. Step 6: Final answer
    x = 281,804.31

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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.