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Finding the Fourth Proportional to 467,309.81, 700,980.50 and 130,358.72

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Solution

The fourth proportional to 467,309.81, 700,980.50 and 130,358.72 is: 195,542.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,309.81 : 700,980.50 = 130,358.72 : x
  2. Step 2: Convert to fraction form
    467,309.81/700,980.50 = 130,358.72/x
  3. Step 3: Cross multiply
    467,309.81x = 700,980.50 × 130,358.72
  4. Step 4: Simplify right side
    467,309.81x = 91,378,917,545.95
  5. Step 5: Solve for x
    x = 91,378,917,545.95/467,309.81
  6. Step 6: Final answer
    x = 195,542.48

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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.