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Finding the Fourth Proportional to 452,453.80, 678,764.08 and 148,865.02

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Solution

The fourth proportional to 452,453.80, 678,764.08 and 148,865.02 is: 223,324.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,453.80 : 678,764.08 = 148,865.02 : x
  2. Step 2: Convert to fraction form
    452,453.80/678,764.08 = 148,865.02/x
  3. Step 3: Cross multiply
    452,453.80x = 678,764.08 × 148,865.02
  4. Step 4: Simplify right side
    452,453.80x = 101,044,228,344.48
  5. Step 5: Solve for x
    x = 101,044,228,344.48/452,453.80
  6. Step 6: Final answer
    x = 223,324.96

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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.