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Finding the Fourth Proportional to 381,022.90, 571,575.87 and 167,699.16

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Solution

The fourth proportional to 381,022.90, 571,575.87 and 167,699.16 is: 251,567.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,022.90 : 571,575.87 = 167,699.16 : x
  2. Step 2: Convert to fraction form
    381,022.90/571,575.87 = 167,699.16/x
  3. Step 3: Cross multiply
    381,022.90x = 571,575.87 × 167,699.16
  4. Step 4: Simplify right side
    381,022.90x = 95,852,792,803.62
  5. Step 5: Solve for x
    x = 95,852,792,803.62/381,022.90
  6. Step 6: Final answer
    x = 251,567.01

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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.