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Finding the Fourth Proportional to 284,580.36, 426,932.10 and 151,441.11

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Solution

The fourth proportional to 284,580.36, 426,932.10 and 151,441.11 is: 227,194.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,580.36 : 426,932.10 = 151,441.11 : x
  2. Step 2: Convert to fraction form
    284,580.36/426,932.10 = 151,441.11/x
  3. Step 3: Cross multiply
    284,580.36x = 426,932.10 × 151,441.11
  4. Step 4: Simplify right side
    284,580.36x = 64,655,071,118.63
  5. Step 5: Solve for x
    x = 64,655,071,118.63/284,580.36
  6. Step 6: Final answer
    x = 227,194.42

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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.