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Finding the Fourth Proportional to 413,750.37, 620,674.16 and 147,548.73

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Solution

The fourth proportional to 413,750.37, 620,674.16 and 147,548.73 is: 221,340.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,750.37 : 620,674.16 = 147,548.73 : x
  2. Step 2: Convert to fraction form
    413,750.37/620,674.16 = 147,548.73/x
  3. Step 3: Cross multiply
    413,750.37x = 620,674.16 × 147,548.73
  4. Step 4: Simplify right side
    413,750.37x = 91,579,683,314.07
  5. Step 5: Solve for x
    x = 91,579,683,314.07/413,750.37
  6. Step 6: Final answer
    x = 221,340.43

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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.