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Finding the Fourth Proportional to 378,433, 567,649.50 and 153,915.58

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Solution

The fourth proportional to 378,433, 567,649.50 and 153,915.58 is: 230,873.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,433 : 567,649.50 = 153,915.58 : x
  2. Step 2: Convert to fraction form
    378,433/567,649.50 = 153,915.58/x
  3. Step 3: Cross multiply
    378,433x = 567,649.50 × 153,915.58
  4. Step 4: Simplify right side
    378,433x = 87,370,102,029.21
  5. Step 5: Solve for x
    x = 87,370,102,029.21/378,433
  6. Step 6: Final answer
    x = 230,873.37

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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.