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Finding the Fourth Proportional to 289,221.20, 433,831.80 and 194,742.80

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Solution

The fourth proportional to 289,221.20, 433,831.80 and 194,742.80 is: 292,114.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,221.20 : 433,831.80 = 194,742.80 : x
  2. Step 2: Convert to fraction form
    289,221.20/433,831.80 = 194,742.80/x
  3. Step 3: Cross multiply
    289,221.20x = 433,831.80 × 194,742.80
  4. Step 4: Simplify right side
    289,221.20x = 84,485,619,461.04
  5. Step 5: Solve for x
    x = 84,485,619,461.04/289,221.20
  6. Step 6: Final answer
    x = 292,114.20

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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.