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Finding the Fourth Proportional to 416,263.65, 624,012.75 and 149,959.04

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Solution

The fourth proportional to 416,263.65, 624,012.75 and 149,959.04 is: 224,800.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,263.65 : 624,012.75 = 149,959.04 : x
  2. Step 2: Convert to fraction form
    416,263.65/624,012.75 = 149,959.04/x
  3. Step 3: Cross multiply
    416,263.65x = 624,012.75 × 149,959.04
  4. Step 4: Simplify right side
    416,263.65x = 93,576,349,817.70
  5. Step 5: Solve for x
    x = 93,576,349,817.70/416,263.65
  6. Step 6: Final answer
    x = 224,800.68

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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.