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Finding the Fourth Proportional to 329,873.93, 494,830.89 and 93,234.32

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Solution

The fourth proportional to 329,873.93, 494,830.89 and 93,234.32 is: 139,857.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,873.93 : 494,830.89 = 93,234.32 : x
  2. Step 2: Convert to fraction form
    329,873.93/494,830.89 = 93,234.32/x
  3. Step 3: Cross multiply
    329,873.93x = 494,830.89 × 93,234.32
  4. Step 4: Simplify right side
    329,873.93x = 46,135,221,544.14
  5. Step 5: Solve for x
    x = 46,135,221,544.14/329,873.93
  6. Step 6: Final answer
    x = 139,857.13

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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.