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Finding the Fourth Proportional to 284,491.44, 426,610.80 and 151,343.64

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Solution

The fourth proportional to 284,491.44, 426,610.80 and 151,343.64 is: 226,948.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,491.44 : 426,610.80 = 151,343.64 : x
  2. Step 2: Convert to fraction form
    284,491.44/426,610.80 = 151,343.64/x
  3. Step 3: Cross multiply
    284,491.44x = 426,610.80 × 151,343.64
  4. Step 4: Simplify right side
    284,491.44x = 64,564,831,335.31
  5. Step 5: Solve for x
    x = 64,564,831,335.31/284,491.44
  6. Step 6: Final answer
    x = 226,948.24

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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.