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Finding the Fourth Proportional to 294,084.90, 405,911.21 and 166,836.90

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Solution

The fourth proportional to 294,084.90, 405,911.21 and 166,836.90 is: 230,276.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,084.90 : 405,911.21 = 166,836.90 : x
  2. Step 2: Convert to fraction form
    294,084.90/405,911.21 = 166,836.90/x
  3. Step 3: Cross multiply
    294,084.90x = 405,911.21 × 166,836.90
  4. Step 4: Simplify right side
    294,084.90x = 67,720,967,951.65
  5. Step 5: Solve for x
    x = 67,720,967,951.65/294,084.90
  6. Step 6: Final answer
    x = 230,276.93

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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.