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Finding the Fourth Proportional to 444,193.50, 613,001.66 and 242,989.50

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Solution

The fourth proportional to 444,193.50, 613,001.66 and 242,989.50 is: 335,333.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,193.50 : 613,001.66 = 242,989.50 : x
  2. Step 2: Convert to fraction form
    444,193.50/613,001.66 = 242,989.50/x
  3. Step 3: Cross multiply
    444,193.50x = 613,001.66 × 242,989.50
  4. Step 4: Simplify right side
    444,193.50x = 148,952,965,647.62
  5. Step 5: Solve for x
    x = 148,952,965,647.62/444,193.50
  6. Step 6: Final answer
    x = 335,333.51

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1.5x scale

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.