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Finding the Fourth Proportional to 319,324.92, 440,643.50 and 176,084.28

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Solution

The fourth proportional to 319,324.92, 440,643.50 and 176,084.28 is: 242,982.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,324.92 : 440,643.50 = 176,084.28 : x
  2. Step 2: Convert to fraction form
    319,324.92/440,643.50 = 176,084.28/x
  3. Step 3: Cross multiply
    319,324.92x = 440,643.50 × 176,084.28
  4. Step 4: Simplify right side
    319,324.92x = 77,590,393,434.18
  5. Step 5: Solve for x
    x = 77,590,393,434.18/319,324.92
  6. Step 6: Final answer
    x = 242,982.58

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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.