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Finding the Fourth Proportional to 416,260.46, 624,007.96 and 149,955.86

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Solution

The fourth proportional to 416,260.46, 624,007.96 and 149,955.86 is: 224,795.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,260.46 : 624,007.96 = 149,955.86 : x
  2. Step 2: Convert to fraction form
    416,260.46/624,007.96 = 149,955.86/x
  3. Step 3: Cross multiply
    416,260.46x = 624,007.96 × 149,955.86
  4. Step 4: Simplify right side
    416,260.46x = 93,573,650,288.65
  5. Step 5: Solve for x
    x = 93,573,650,288.65/416,260.46
  6. Step 6: Final answer
    x = 224,795.91

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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.