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Finding the Fourth Proportional to 419,382.60, 628,549.29 and 330,284.22

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Solution

The fourth proportional to 419,382.60, 628,549.29 and 330,284.22 is: 495,013.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,382.60 : 628,549.29 = 330,284.22 : x
  2. Step 2: Convert to fraction form
    419,382.60/628,549.29 = 330,284.22/x
  3. Step 3: Cross multiply
    419,382.60x = 628,549.29 × 330,284.22
  4. Step 4: Simplify right side
    419,382.60x = 207,599,911,979.20
  5. Step 5: Solve for x
    x = 207,599,911,979.20/419,382.60
  6. Step 6: Final answer
    x = 495,013.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.