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Finding the Fourth Proportional to 416,534.59, 624,672.64 and 150,260.35

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Solution

The fourth proportional to 416,534.59, 624,672.64 and 150,260.35 is: 225,343.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,534.59 : 624,672.64 = 150,260.35 : x
  2. Step 2: Convert to fraction form
    416,534.59/624,672.64 = 150,260.35/x
  3. Step 3: Cross multiply
    416,534.59x = 624,672.64 × 150,260.35
  4. Step 4: Simplify right side
    416,534.59x = 93,863,529,521.82
  5. Step 5: Solve for x
    x = 93,863,529,521.82/416,534.59
  6. Step 6: Final answer
    x = 225,343.90

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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.