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Finding the Fourth Proportional to 284,824.76, 427,330.66 and 116,486.66

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Solution

The fourth proportional to 284,824.76, 427,330.66 and 116,486.66 is: 174,768.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,824.76 : 427,330.66 = 116,486.66 : x
  2. Step 2: Convert to fraction form
    284,824.76/427,330.66 = 116,486.66/x
  3. Step 3: Cross multiply
    284,824.76x = 427,330.66 × 116,486.66
  4. Step 4: Simplify right side
    284,824.76x = 49,778,321,299.00
  5. Step 5: Solve for x
    x = 49,778,321,299.00/284,824.76
  6. Step 6: Final answer
    x = 174,768.24

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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.