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Finding the Fourth Proportional to 284,894.04, 427,039.74 and 107,324.28

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Solution

The fourth proportional to 284,894.04, 427,039.74 and 107,324.28 is: 160,872.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,894.04 : 427,039.74 = 107,324.28 : x
  2. Step 2: Convert to fraction form
    284,894.04/427,039.74 = 107,324.28/x
  3. Step 3: Cross multiply
    284,894.04x = 427,039.74 × 107,324.28
  4. Step 4: Simplify right side
    284,894.04x = 45,831,732,626.89
  5. Step 5: Solve for x
    x = 45,831,732,626.89/284,894.04
  6. Step 6: Final answer
    x = 160,872.91

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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.