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Finding the Fourth Proportional to 365,671.71, 504,653.33 and 204,578.62

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Solution

The fourth proportional to 365,671.71, 504,653.33 and 204,578.62 is: 282,333.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,671.71 : 504,653.33 = 204,578.62 : x
  2. Step 2: Convert to fraction form
    365,671.71/504,653.33 = 204,578.62/x
  3. Step 3: Cross multiply
    365,671.71x = 504,653.33 × 204,578.62
  4. Step 4: Simplify right side
    365,671.71x = 103,241,281,079.62
  5. Step 5: Solve for x
    x = 103,241,281,079.62/365,671.71
  6. Step 6: Final answer
    x = 282,333.25

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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.