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Finding the Fourth Proportional to 374,344.64, 516,595.80 and 204,578.74

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Solution

The fourth proportional to 374,344.64, 516,595.80 and 204,578.74 is: 282,318.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,344.64 : 516,595.80 = 204,578.74 : x
  2. Step 2: Convert to fraction form
    374,344.64/516,595.80 = 204,578.74/x
  3. Step 3: Cross multiply
    374,344.64x = 516,595.80 × 204,578.74
  4. Step 4: Simplify right side
    374,344.64x = 105,684,517,853.29
  5. Step 5: Solve for x
    x = 105,684,517,853.29/374,344.64
  6. Step 6: Final answer
    x = 282,318.77

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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.