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Finding the Fourth Proportional to 416,233.32, 624,317.80 and 116,698

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Solution

The fourth proportional to 416,233.32, 624,317.80 and 116,698 is: 175,037.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,233.32 : 624,317.80 = 116,698 : x
  2. Step 2: Convert to fraction form
    416,233.32/624,317.80 = 116,698/x
  3. Step 3: Cross multiply
    416,233.32x = 624,317.80 × 116,698
  4. Step 4: Simplify right side
    416,233.32x = 72,856,638,624.40
  5. Step 5: Solve for x
    x = 72,856,638,624.40/416,233.32
  6. Step 6: Final answer
    x = 175,037.98

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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.