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Finding the Fourth Proportional to 374,194.12, 516,387 and 204,429.46

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Solution

The fourth proportional to 374,194.12, 516,387 and 204,429.46 is: 282,112.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,194.12 : 516,387 = 204,429.46 : x
  2. Step 2: Convert to fraction form
    374,194.12/516,387 = 204,429.46/x
  3. Step 3: Cross multiply
    374,194.12x = 516,387 × 204,429.46
  4. Step 4: Simplify right side
    374,194.12x = 105,564,715,561.02
  5. Step 5: Solve for x
    x = 105,564,715,561.02/374,194.12
  6. Step 6: Final answer
    x = 282,112.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.