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Finding the Fourth Proportional to 374,634.99, 516,996 and 204,869.07

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Solution

The fourth proportional to 374,634.99, 516,996 and 204,869.07 is: 282,719.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,634.99 : 516,996 = 204,869.07 : x
  2. Step 2: Convert to fraction form
    374,634.99/516,996 = 204,869.07/x
  3. Step 3: Cross multiply
    374,634.99x = 516,996 × 204,869.07
  4. Step 4: Simplify right side
    374,634.99x = 105,916,489,713.72
  5. Step 5: Solve for x
    x = 105,916,489,713.72/374,634.99
  6. Step 6: Final answer
    x = 282,719.16

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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.