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Finding the Fourth Proportional to 318,411.82, 477,224.07 and 160,685.38

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Solution

The fourth proportional to 318,411.82, 477,224.07 and 160,685.38 is: 240,829.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,411.82 : 477,224.07 = 160,685.38 : x
  2. Step 2: Convert to fraction form
    318,411.82/477,224.07 = 160,685.38/x
  3. Step 3: Cross multiply
    318,411.82x = 477,224.07 × 160,685.38
  4. Step 4: Simplify right side
    318,411.82x = 76,682,931,033.10
  5. Step 5: Solve for x
    x = 76,682,931,033.10/318,411.82
  6. Step 6: Final answer
    x = 240,829.41

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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.