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Finding the Fourth Proportional to 298,832.53, 412,792.75 and 238,823.77

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Solution

The fourth proportional to 298,832.53, 412,792.75 and 238,823.77 is: 329,899.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,832.53 : 412,792.75 = 238,823.77 : x
  2. Step 2: Convert to fraction form
    298,832.53/412,792.75 = 238,823.77/x
  3. Step 3: Cross multiply
    298,832.53x = 412,792.75 × 238,823.77
  4. Step 4: Simplify right side
    298,832.53x = 98,584,720,783.67
  5. Step 5: Solve for x
    x = 98,584,720,783.67/298,832.53
  6. Step 6: Final answer
    x = 329,899.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.