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Finding the Fourth Proportional to 491,902.17, 737,214.17 and 221,831.97

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Solution

The fourth proportional to 491,902.17, 737,214.17 and 221,831.97 is: 332,459.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,902.17 : 737,214.17 = 221,831.97 : x
  2. Step 2: Convert to fraction form
    491,902.17/737,214.17 = 221,831.97/x
  3. Step 3: Cross multiply
    491,902.17x = 737,214.17 × 221,831.97
  4. Step 4: Simplify right side
    491,902.17x = 163,537,670,533.86
  5. Step 5: Solve for x
    x = 163,537,670,533.86/491,902.17
  6. Step 6: Final answer
    x = 332,459.75

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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.