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Finding the Fourth Proportional to 319,409.72, 478,524.08 and 161,260.46

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Solution

The fourth proportional to 319,409.72, 478,524.08 and 161,260.46 is: 241,592.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,409.72 : 478,524.08 = 161,260.46 : x
  2. Step 2: Convert to fraction form
    319,409.72/478,524.08 = 161,260.46/x
  3. Step 3: Cross multiply
    319,409.72x = 478,524.08 × 161,260.46
  4. Step 4: Simplify right side
    319,409.72x = 77,167,013,261.88
  5. Step 5: Solve for x
    x = 77,167,013,261.88/319,409.72
  6. Step 6: Final answer
    x = 241,592.56

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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.