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Finding the Fourth Proportional to 319,102.92, 440,355.36 and 175,859.28

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Solution

The fourth proportional to 319,102.92, 440,355.36 and 175,859.28 is: 242,682.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,102.92 : 440,355.36 = 175,859.28 : x
  2. Step 2: Convert to fraction form
    319,102.92/440,355.36 = 175,859.28/x
  3. Step 3: Cross multiply
    319,102.92x = 440,355.36 × 175,859.28
  4. Step 4: Simplify right side
    319,102.92x = 77,440,576,553.74
  5. Step 5: Solve for x
    x = 77,440,576,553.74/319,102.92
  6. Step 6: Final answer
    x = 242,682.13

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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.