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Finding the Fourth Proportional to 385,576.32, 532,098 and 224,525.28

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Solution

The fourth proportional to 385,576.32, 532,098 and 224,525.28 is: 309,846.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,576.32 : 532,098 = 224,525.28 : x
  2. Step 2: Convert to fraction form
    385,576.32/532,098 = 224,525.28/x
  3. Step 3: Cross multiply
    385,576.32x = 532,098 × 224,525.28
  4. Step 4: Simplify right side
    385,576.32x = 119,469,452,437.44
  5. Step 5: Solve for x
    x = 119,469,452,437.44/385,576.32
  6. Step 6: Final answer
    x = 309,846.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.