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Finding the Fourth Proportional to 374,608.80, 516,952.28 and 204,842.80

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Solution

The fourth proportional to 374,608.80, 516,952.28 and 204,842.80 is: 282,678.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,608.80 : 516,952.28 = 204,842.80 : x
  2. Step 2: Convert to fraction form
    374,608.80/516,952.28 = 204,842.80/x
  3. Step 3: Cross multiply
    374,608.80x = 516,952.28 × 204,842.80
  4. Step 4: Simplify right side
    374,608.80x = 105,893,952,501.58
  5. Step 5: Solve for x
    x = 105,893,952,501.58/374,608.80
  6. Step 6: Final answer
    x = 282,678.76

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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.