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Finding the Fourth Proportional to 329,094.40, 493,058.40 and 308,099.20

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Solution

The fourth proportional to 329,094.40, 493,058.40 and 308,099.20 is: 461,602.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,094.40 : 493,058.40 = 308,099.20 : x
  2. Step 2: Convert to fraction form
    329,094.40/493,058.40 = 308,099.20/x
  3. Step 3: Cross multiply
    329,094.40x = 493,058.40 × 308,099.20
  4. Step 4: Simplify right side
    329,094.40x = 151,910,898,593.28
  5. Step 5: Solve for x
    x = 151,910,898,593.28/329,094.40
  6. Step 6: Final answer
    x = 461,602.81

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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.