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Finding the Fourth Proportional to 470,896.96, 706,269.69 and 129,260.67

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Solution

The fourth proportional to 470,896.96, 706,269.69 and 129,260.67 is: 193,870.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,896.96 : 706,269.69 = 129,260.67 : x
  2. Step 2: Convert to fraction form
    470,896.96/706,269.69 = 129,260.67/x
  3. Step 3: Cross multiply
    470,896.96x = 706,269.69 × 129,260.67
  4. Step 4: Simplify right side
    470,896.96x = 91,292,893,330.09
  5. Step 5: Solve for x
    x = 91,292,893,330.09/470,896.96
  6. Step 6: Final answer
    x = 193,870.21

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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.