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Finding the Fourth Proportional to 382,502.86, 573,229.39 and 242,009.98

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Solution

The fourth proportional to 382,502.86, 573,229.39 and 242,009.98 is: 362,682.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,502.86 : 573,229.39 = 242,009.98 : x
  2. Step 2: Convert to fraction form
    382,502.86/573,229.39 = 242,009.98/x
  3. Step 3: Cross multiply
    382,502.86x = 573,229.39 × 242,009.98
  4. Step 4: Simplify right side
    382,502.86x = 138,727,233,209.31
  5. Step 5: Solve for x
    x = 138,727,233,209.31/382,502.86
  6. Step 6: Final answer
    x = 362,682.87

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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.