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Finding the Fourth Proportional to 454,857.76, 682,443.90 and 155,548.96

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Solution

The fourth proportional to 454,857.76, 682,443.90 and 155,548.96 is: 233,377.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,857.76 : 682,443.90 = 155,548.96 : x
  2. Step 2: Convert to fraction form
    454,857.76/682,443.90 = 155,548.96/x
  3. Step 3: Cross multiply
    454,857.76x = 682,443.90 × 155,548.96
  4. Step 4: Simplify right side
    454,857.76x = 106,153,438,903.34
  5. Step 5: Solve for x
    x = 106,153,438,903.34/454,857.76
  6. Step 6: Final answer
    x = 233,377.22

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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.