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Finding the Fourth Proportional to 284,051.85, 425,754.03 and 177,485.01

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Solution

The fourth proportional to 284,051.85, 425,754.03 and 177,485.01 is: 266,025.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,051.85 : 425,754.03 = 177,485.01 : x
  2. Step 2: Convert to fraction form
    284,051.85/425,754.03 = 177,485.01/x
  3. Step 3: Cross multiply
    284,051.85x = 425,754.03 × 177,485.01
  4. Step 4: Simplify right side
    284,051.85x = 75,564,958,272.09
  5. Step 5: Solve for x
    x = 75,564,958,272.09/284,051.85
  6. Step 6: Final answer
    x = 266,025.23

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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.