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Finding the Fourth Proportional to 416,081.42, 624,150.08 and 146,176.74

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Solution

The fourth proportional to 416,081.42, 624,150.08 and 146,176.74 is: 219,274.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,081.42 : 624,150.08 = 146,176.74 : x
  2. Step 2: Convert to fraction form
    416,081.42/624,150.08 = 146,176.74/x
  3. Step 3: Cross multiply
    416,081.42x = 624,150.08 × 146,176.74
  4. Step 4: Simplify right side
    416,081.42x = 91,236,223,234.26
  5. Step 5: Solve for x
    x = 91,236,223,234.26/416,081.42
  6. Step 6: Final answer
    x = 219,274.93

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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.