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Finding the Fourth Proportional to 416,518.17, 624,801.49 and 117,022.11

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Solution

The fourth proportional to 416,518.17, 624,801.49 and 117,022.11 is: 175,539.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,518.17 : 624,801.49 = 117,022.11 : x
  2. Step 2: Convert to fraction form
    416,518.17/624,801.49 = 117,022.11/x
  3. Step 3: Cross multiply
    416,518.17x = 624,801.49 × 117,022.11
  4. Step 4: Simplify right side
    416,518.17x = 73,115,588,690.94
  5. Step 5: Solve for x
    x = 73,115,588,690.94/416,518.17
  6. Step 6: Final answer
    x = 175,539.97

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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.