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Finding the Fourth Proportional to 294,079.40, 405,903.62 and 166,831.40

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Solution

The fourth proportional to 294,079.40, 405,903.62 and 166,831.40 is: 230,269.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,079.40 : 405,903.62 = 166,831.40 : x
  2. Step 2: Convert to fraction form
    294,079.40/405,903.62 = 166,831.40/x
  3. Step 3: Cross multiply
    294,079.40x = 405,903.62 × 166,831.40
  4. Step 4: Simplify right side
    294,079.40x = 67,717,469,189.67
  5. Step 5: Solve for x
    x = 67,717,469,189.67/294,079.40
  6. Step 6: Final answer
    x = 230,269.34

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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.