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Finding the Fourth Proportional to 293,812.84, 405,394.98 and 166,459.24

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Solution

The fourth proportional to 293,812.84, 405,394.98 and 166,459.24 is: 229,675.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,812.84 : 405,394.98 = 166,459.24 : x
  2. Step 2: Convert to fraction form
    293,812.84/405,394.98 = 166,459.24/x
  3. Step 3: Cross multiply
    293,812.84x = 405,394.98 × 166,459.24
  4. Step 4: Simplify right side
    293,812.84x = 67,481,740,270.62
  5. Step 5: Solve for x
    x = 67,481,740,270.62/293,812.84
  6. Step 6: Final answer
    x = 229,675.94

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1.5x scale

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.