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Finding the Fourth Proportional to 319,104.90, 440,367.44 and 175,865.31

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Solution

The fourth proportional to 319,104.90, 440,367.44 and 175,865.31 is: 242,695.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,104.90 : 440,367.44 = 175,865.31 : x
  2. Step 2: Convert to fraction form
    319,104.90/440,367.44 = 175,865.31/x
  3. Step 3: Cross multiply
    319,104.90x = 440,367.44 × 175,865.31
  4. Step 4: Simplify right side
    319,104.90x = 77,445,355,470.18
  5. Step 5: Solve for x
    x = 77,445,355,470.18/319,104.90
  6. Step 6: Final answer
    x = 242,695.60

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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.