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Finding the Fourth Proportional to 382,227.94, 573,411.11 and 157,463.47

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Solution

The fourth proportional to 382,227.94, 573,411.11 and 157,463.47 is: 236,223.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,227.94 : 573,411.11 = 157,463.47 : x
  2. Step 2: Convert to fraction form
    382,227.94/573,411.11 = 157,463.47/x
  3. Step 3: Cross multiply
    382,227.94x = 573,411.11 × 157,463.47
  4. Step 4: Simplify right side
    382,227.94x = 90,291,303,117.15
  5. Step 5: Solve for x
    x = 90,291,303,117.15/382,227.94
  6. Step 6: Final answer
    x = 236,223.71

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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.