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Finding the Fourth Proportional to 538,856.69, 807,846.69 and 201,708.50

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Solution

The fourth proportional to 538,856.69, 807,846.69 and 201,708.50 is: 302,398.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,856.69 : 807,846.69 = 201,708.50 : x
  2. Step 2: Convert to fraction form
    538,856.69/807,846.69 = 201,708.50/x
  3. Step 3: Cross multiply
    538,856.69x = 807,846.69 × 201,708.50
  4. Step 4: Simplify right side
    538,856.69x = 162,949,544,069.87
  5. Step 5: Solve for x
    x = 162,949,544,069.87/538,856.69
  6. Step 6: Final answer
    x = 302,398.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.