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Finding the Fourth Proportional to 284,932.32, 427,020.96 and 151,525.32

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Solution

The fourth proportional to 284,932.32, 427,020.96 and 151,525.32 is: 227,087.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,932.32 : 427,020.96 = 151,525.32 : x
  2. Step 2: Convert to fraction form
    284,932.32/427,020.96 = 151,525.32/x
  3. Step 3: Cross multiply
    284,932.32x = 427,020.96 × 151,525.32
  4. Step 4: Simplify right side
    284,932.32x = 64,704,487,610.71
  5. Step 5: Solve for x
    x = 64,704,487,610.71/284,932.32
  6. Step 6: Final answer
    x = 227,087.22

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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.