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Finding the Fourth Proportional to 293,661, 405,217.80 and 172,775.70

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Solution

The fourth proportional to 293,661, 405,217.80 and 172,775.70 is: 238,410.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,661 : 405,217.80 = 172,775.70 : x
  2. Step 2: Convert to fraction form
    293,661/405,217.80 = 172,775.70/x
  3. Step 3: Cross multiply
    293,661x = 405,217.80 × 172,775.70
  4. Step 4: Simplify right side
    293,661x = 70,011,789,047.46
  5. Step 5: Solve for x
    x = 70,011,789,047.46/293,661
  6. Step 6: Final answer
    x = 238,410.24

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