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Finding the Fourth Proportional to 416,261.38, 624,009.35 and 149,956.78

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Solution

The fourth proportional to 416,261.38, 624,009.35 and 149,956.78 is: 224,797.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,261.38 : 624,009.35 = 149,956.78 : x
  2. Step 2: Convert to fraction form
    416,261.38/624,009.35 = 149,956.78/x
  3. Step 3: Cross multiply
    416,261.38x = 624,009.35 × 149,956.78
  4. Step 4: Simplify right side
    416,261.38x = 93,574,432,815.89
  5. Step 5: Solve for x
    x = 93,574,432,815.89/416,261.38
  6. Step 6: Final answer
    x = 224,797.30

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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.