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Finding the Fourth Proportional to 399,146.53, 598,719.81 and 146,331.49

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Solution

The fourth proportional to 399,146.53, 598,719.81 and 146,331.49 is: 219,497.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,146.53 : 598,719.81 = 146,331.49 : x
  2. Step 2: Convert to fraction form
    399,146.53/598,719.81 = 146,331.49/x
  3. Step 3: Cross multiply
    399,146.53x = 598,719.81 × 146,331.49
  4. Step 4: Simplify right side
    399,146.53x = 87,611,561,889.82
  5. Step 5: Solve for x
    x = 87,611,561,889.82/399,146.53
  6. Step 6: Final answer
    x = 219,497.24

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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.