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Finding the Fourth Proportional to 456,349.52, 683,123 and 287,077.28

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Solution

The fourth proportional to 456,349.52, 683,123 and 287,077.28 is: 429,734.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,349.52 : 683,123 = 287,077.28 : x
  2. Step 2: Convert to fraction form
    456,349.52/683,123 = 287,077.28/x
  3. Step 3: Cross multiply
    456,349.52x = 683,123 × 287,077.28
  4. Step 4: Simplify right side
    456,349.52x = 196,109,092,745.44
  5. Step 5: Solve for x
    x = 196,109,092,745.44/456,349.52
  6. Step 6: Final answer
    x = 429,734.41

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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.