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Finding the Fourth Proportional to 284,816.75, 427,318.66 and 116,478.66

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Solution

The fourth proportional to 284,816.75, 427,318.66 and 116,478.66 is: 174,756.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,816.75 : 427,318.66 = 116,478.66 : x
  2. Step 2: Convert to fraction form
    284,816.75/427,318.66 = 116,478.66/x
  3. Step 3: Cross multiply
    284,816.75x = 427,318.66 × 116,478.66
  4. Step 4: Simplify right side
    284,816.75x = 49,773,502,700.40
  5. Step 5: Solve for x
    x = 49,773,502,700.40/284,816.75
  6. Step 6: Final answer
    x = 174,756.23

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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.