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Finding the Fourth Proportional to 284,665.48, 427,054.59 and 149,793.90

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Solution

The fourth proportional to 284,665.48, 427,054.59 and 149,793.90 is: 224,720.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,665.48 : 427,054.59 = 149,793.90 : x
  2. Step 2: Convert to fraction form
    284,665.48/427,054.59 = 149,793.90/x
  3. Step 3: Cross multiply
    284,665.48x = 427,054.59 × 149,793.90
  4. Step 4: Simplify right side
    284,665.48x = 63,970,172,549.00
  5. Step 5: Solve for x
    x = 63,970,172,549.00/284,665.48
  6. Step 6: Final answer
    x = 224,720.51

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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.