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Finding the Fourth Proportional to 329,583.90, 494,375.85 and 152,038.38

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Solution

The fourth proportional to 329,583.90, 494,375.85 and 152,038.38 is: 228,057.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,583.90 : 494,375.85 = 152,038.38 : x
  2. Step 2: Convert to fraction form
    329,583.90/494,375.85 = 152,038.38/x
  3. Step 3: Cross multiply
    329,583.90x = 494,375.85 × 152,038.38
  4. Step 4: Simplify right side
    329,583.90x = 75,164,103,345.12
  5. Step 5: Solve for x
    x = 75,164,103,345.12/329,583.90
  6. Step 6: Final answer
    x = 228,057.57

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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.