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Finding the Fourth Proportional to 467,257.83, 700,954.41 and 147,301.56

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Solution

The fourth proportional to 467,257.83, 700,954.41 and 147,301.56 is: 220,973.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,257.83 : 700,954.41 = 147,301.56 : x
  2. Step 2: Convert to fraction form
    467,257.83/700,954.41 = 147,301.56/x
  3. Step 3: Cross multiply
    467,257.83x = 700,954.41 × 147,301.56
  4. Step 4: Simplify right side
    467,257.83x = 103,251,678,081.88
  5. Step 5: Solve for x
    x = 103,251,678,081.88/467,257.83
  6. Step 6: Final answer
    x = 220,973.67

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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.