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Finding the Fourth Proportional to 416,433.64, 624,692.38 and 116,914.92

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Solution

The fourth proportional to 416,433.64, 624,692.38 and 116,914.92 is: 175,384.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,433.64 : 624,692.38 = 116,914.92 : x
  2. Step 2: Convert to fraction form
    416,433.64/624,692.38 = 116,914.92/x
  3. Step 3: Cross multiply
    416,433.64x = 624,692.38 × 116,914.92
  4. Step 4: Simplify right side
    416,433.64x = 73,035,859,632.31
  5. Step 5: Solve for x
    x = 73,035,859,632.31/416,433.64
  6. Step 6: Final answer
    x = 175,384.15

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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.