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Finding the Fourth Proportional to 416,384.40, 624,511.80 and 116,835.60

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Solution

The fourth proportional to 416,384.40, 624,511.80 and 116,835.60 is: 175,235.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,384.40 : 624,511.80 = 116,835.60 : x
  2. Step 2: Convert to fraction form
    416,384.40/624,511.80 = 116,835.60/x
  3. Step 3: Cross multiply
    416,384.40x = 624,511.80 × 116,835.60
  4. Step 4: Simplify right side
    416,384.40x = 72,965,210,860.08
  5. Step 5: Solve for x
    x = 72,965,210,860.08/416,384.40
  6. Step 6: Final answer
    x = 175,235.22

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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.