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Finding the Fourth Proportional to 486,493.32, 729,553.86 and 233,703.48

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Solution

The fourth proportional to 486,493.32, 729,553.86 and 233,703.48 is: 350,465.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,493.32 : 729,553.86 = 233,703.48 : x
  2. Step 2: Convert to fraction form
    486,493.32/729,553.86 = 233,703.48/x
  3. Step 3: Cross multiply
    486,493.32x = 729,553.86 × 233,703.48
  4. Step 4: Simplify right side
    486,493.32x = 170,499,275,929.43
  5. Step 5: Solve for x
    x = 170,499,275,929.43/486,493.32
  6. Step 6: Final answer
    x = 350,465.81

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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.