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Finding the Fourth Proportional to 418,073.80, 626,929.26 and 151,745.80

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Solution

The fourth proportional to 418,073.80, 626,929.26 and 151,745.80 is: 227,552.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,073.80 : 626,929.26 = 151,745.80 : x
  2. Step 2: Convert to fraction form
    418,073.80/626,929.26 = 151,745.80/x
  3. Step 3: Cross multiply
    418,073.80x = 626,929.26 × 151,745.80
  4. Step 4: Simplify right side
    418,073.80x = 95,133,882,102.11
  5. Step 5: Solve for x
    x = 95,133,882,102.11/418,073.80
  6. Step 6: Final answer
    x = 227,552.84

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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.