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Finding the Fourth Proportional to 472,831.20, 709,246.80 and 273,765.60

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Solution

The fourth proportional to 472,831.20, 709,246.80 and 273,765.60 is: 410,648.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,831.20 : 709,246.80 = 273,765.60 : x
  2. Step 2: Convert to fraction form
    472,831.20/709,246.80 = 273,765.60/x
  3. Step 3: Cross multiply
    472,831.20x = 709,246.80 × 273,765.60
  4. Step 4: Simplify right side
    472,831.20x = 194,167,375,750.08
  5. Step 5: Solve for x
    x = 194,167,375,750.08/472,831.20
  6. Step 6: Final answer
    x = 410,648.40

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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.