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Finding the Fourth Proportional to 494,564.47, 741,838.57 and 157,600.49

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Solution

The fourth proportional to 494,564.47, 741,838.57 and 157,600.49 is: 236,398.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,564.47 : 741,838.57 = 157,600.49 : x
  2. Step 2: Convert to fraction form
    494,564.47/741,838.57 = 157,600.49/x
  3. Step 3: Cross multiply
    494,564.47x = 741,838.57 × 157,600.49
  4. Step 4: Simplify right side
    494,564.47x = 116,914,118,029.71
  5. Step 5: Solve for x
    x = 116,914,118,029.71/494,564.47
  6. Step 6: Final answer
    x = 236,398.14

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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.