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Finding the Fourth Proportional to 452,265.23, 678,253.80 and 148,588.88

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Solution

The fourth proportional to 452,265.23, 678,253.80 and 148,588.88 is: 222,835.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,265.23 : 678,253.80 = 148,588.88 : x
  2. Step 2: Convert to fraction form
    452,265.23/678,253.80 = 148,588.88/x
  3. Step 3: Cross multiply
    452,265.23x = 678,253.80 × 148,588.88
  4. Step 4: Simplify right side
    452,265.23x = 100,780,972,497.74
  5. Step 5: Solve for x
    x = 100,780,972,497.74/452,265.23
  6. Step 6: Final answer
    x = 222,835.99

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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.