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Finding the Fourth Proportional to 378,045.60, 567,327.60 and 167,834.40

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Solution

The fourth proportional to 378,045.60, 567,327.60 and 167,834.40 is: 251,866.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,045.60 : 567,327.60 = 167,834.40 : x
  2. Step 2: Convert to fraction form
    378,045.60/567,327.60 = 167,834.40/x
  3. Step 3: Cross multiply
    378,045.60x = 567,327.60 × 167,834.40
  4. Step 4: Simplify right side
    378,045.60x = 95,217,087,349.44
  5. Step 5: Solve for x
    x = 95,217,087,349.44/378,045.60
  6. Step 6: Final answer
    x = 251,866.67

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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.