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Finding the Fourth Proportional to 329,992.25, 494,909.06 and 152,328.60

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Solution

The fourth proportional to 329,992.25, 494,909.06 and 152,328.60 is: 228,456.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,992.25 : 494,909.06 = 152,328.60 : x
  2. Step 2: Convert to fraction form
    329,992.25/494,909.06 = 152,328.60/x
  3. Step 3: Cross multiply
    329,992.25x = 494,909.06 × 152,328.60
  4. Step 4: Simplify right side
    329,992.25x = 75,388,803,475.47
  5. Step 5: Solve for x
    x = 75,388,803,475.47/329,992.25
  6. Step 6: Final answer
    x = 228,456.29

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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.