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Finding the Fourth Proportional to 580,415.28, 870,633.17 and 201,349.41

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Solution

The fourth proportional to 580,415.28, 870,633.17 and 201,349.41 is: 302,027.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,415.28 : 870,633.17 = 201,349.41 : x
  2. Step 2: Convert to fraction form
    580,415.28/870,633.17 = 201,349.41/x
  3. Step 3: Cross multiply
    580,415.28x = 870,633.17 × 201,349.41
  4. Step 4: Simplify right side
    580,415.28x = 175,301,475,105.93
  5. Step 5: Solve for x
    x = 175,301,475,105.93/580,415.28
  6. Step 6: Final answer
    x = 302,027.67

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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.