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Finding the Fourth Proportional to 284,950.53, 427,267.80 and 116,588.97

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Solution

The fourth proportional to 284,950.53, 427,267.80 and 116,588.97 is: 174,818.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,950.53 : 427,267.80 = 116,588.97 : x
  2. Step 2: Convert to fraction form
    284,950.53/427,267.80 = 116,588.97/x
  3. Step 3: Cross multiply
    284,950.53x = 427,267.80 × 116,588.97
  4. Step 4: Simplify right side
    284,950.53x = 49,814,712,716.17
  5. Step 5: Solve for x
    x = 49,814,712,716.17/284,950.53
  6. Step 6: Final answer
    x = 174,818.81

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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.