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Finding the Fourth Proportional to 470,469.60, 705,746.64 and 133,515.36

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Solution

The fourth proportional to 470,469.60, 705,746.64 and 133,515.36 is: 200,285.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,469.60 : 705,746.64 = 133,515.36 : x
  2. Step 2: Convert to fraction form
    470,469.60/705,746.64 = 133,515.36/x
  3. Step 3: Cross multiply
    470,469.60x = 705,746.64 × 133,515.36
  4. Step 4: Simplify right side
    470,469.60x = 94,228,016,708.39
  5. Step 5: Solve for x
    x = 94,228,016,708.39/470,469.60
  6. Step 6: Final answer
    x = 200,285.03

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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.