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Finding the Fourth Proportional to 374,355.84, 516,609.81 and 204,589.92

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Solution

The fourth proportional to 374,355.84, 516,609.81 and 204,589.92 is: 282,333.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,355.84 : 516,609.81 = 204,589.92 : x
  2. Step 2: Convert to fraction form
    374,355.84/516,609.81 = 204,589.92/x
  3. Step 3: Cross multiply
    374,355.84x = 516,609.81 × 204,589.92
  4. Step 4: Simplify right side
    374,355.84x = 105,693,159,699.12
  5. Step 5: Solve for x
    x = 105,693,159,699.12/374,355.84
  6. Step 6: Final answer
    x = 282,333.41

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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.