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Finding the Fourth Proportional to 416,258.46, 624,004.96 and 149,953.86

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Solution

The fourth proportional to 416,258.46, 624,004.96 and 149,953.86 is: 224,792.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,258.46 : 624,004.96 = 149,953.86 : x
  2. Step 2: Convert to fraction form
    416,258.46/624,004.96 = 149,953.86/x
  3. Step 3: Cross multiply
    416,258.46x = 624,004.96 × 149,953.86
  4. Step 4: Simplify right side
    416,258.46x = 93,571,952,411.15
  5. Step 5: Solve for x
    x = 93,571,952,411.15/416,258.46
  6. Step 6: Final answer
    x = 224,792.91

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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.