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Finding the Fourth Proportional to 452,265.28, 678,467.16 and 148,564

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Solution

The fourth proportional to 452,265.28, 678,467.16 and 148,564 is: 222,868.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,265.28 : 678,467.16 = 148,564 : x
  2. Step 2: Convert to fraction form
    452,265.28/678,467.16 = 148,564/x
  3. Step 3: Cross multiply
    452,265.28x = 678,467.16 × 148,564
  4. Step 4: Simplify right side
    452,265.28x = 100,795,795,158.24
  5. Step 5: Solve for x
    x = 100,795,795,158.24/452,265.28
  6. Step 6: Final answer
    x = 222,868.74

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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.