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Finding the Fourth Proportional to 466,658.44, 699,831.96 and 182,275.23

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Solution

The fourth proportional to 466,658.44, 699,831.96 and 182,275.23 is: 273,352.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,658.44 : 699,831.96 = 182,275.23 : x
  2. Step 2: Convert to fraction form
    466,658.44/699,831.96 = 182,275.23/x
  3. Step 3: Cross multiply
    466,658.44x = 699,831.96 × 182,275.23
  4. Step 4: Simplify right side
    466,658.44x = 127,562,031,470.35
  5. Step 5: Solve for x
    x = 127,562,031,470.35/466,658.44
  6. Step 6: Final answer
    x = 273,352.03

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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.