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Finding the Fourth Proportional to 416,044.60, 624,282.90 and 194,428.60

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Solution

The fourth proportional to 416,044.60, 624,282.90 and 194,428.60 is: 291,743.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,044.60 : 624,282.90 = 194,428.60 : x
  2. Step 2: Convert to fraction form
    416,044.60/624,282.90 = 194,428.60/x
  3. Step 3: Cross multiply
    416,044.60x = 624,282.90 × 194,428.60
  4. Step 4: Simplify right side
    416,044.60x = 121,378,450,250.94
  5. Step 5: Solve for x
    x = 121,378,450,250.94/416,044.60
  6. Step 6: Final answer
    x = 291,743.84

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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.