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Finding the Fourth Proportional to 416,298.48, 624,839.33 and 393,546.16

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Solution

The fourth proportional to 416,298.48, 624,839.33 and 393,546.16 is: 590,689.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,298.48 : 624,839.33 = 393,546.16 : x
  2. Step 2: Convert to fraction form
    416,298.48/624,839.33 = 393,546.16/x
  3. Step 3: Cross multiply
    416,298.48x = 624,839.33 × 393,546.16
  4. Step 4: Simplify right side
    416,298.48x = 245,903,115,408.64
  5. Step 5: Solve for x
    x = 245,903,115,408.64/416,298.48
  6. Step 6: Final answer
    x = 590,689.44

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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.