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Finding the Fourth Proportional to 470,470.60, 705,748.14 and 133,516.36

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Solution

The fourth proportional to 470,470.60, 705,748.14 and 133,516.36 is: 200,286.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,470.60 : 705,748.14 = 133,516.36 : x
  2. Step 2: Convert to fraction form
    470,470.60/705,748.14 = 133,516.36/x
  3. Step 3: Cross multiply
    470,470.60x = 705,748.14 × 133,516.36
  4. Step 4: Simplify right side
    470,470.60x = 94,228,922,729.57
  5. Step 5: Solve for x
    x = 94,228,922,729.57/470,470.60
  6. Step 6: Final answer
    x = 200,286.53

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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.