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Finding the Fourth Proportional to 329,583.58, 494,375.38 and 152,038.06

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Solution

The fourth proportional to 329,583.58, 494,375.38 and 152,038.06 is: 228,057.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,583.58 : 494,375.38 = 152,038.06 : x
  2. Step 2: Convert to fraction form
    329,583.58/494,375.38 = 152,038.06/x
  3. Step 3: Cross multiply
    329,583.58x = 494,375.38 × 152,038.06
  4. Step 4: Simplify right side
    329,583.58x = 75,163,873,686.96
  5. Step 5: Solve for x
    x = 75,163,873,686.96/329,583.58
  6. Step 6: Final answer
    x = 228,057.09

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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.