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Finding the Fourth Proportional to 378,441, 567,661.50 and 153,923.58

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Solution

The fourth proportional to 378,441, 567,661.50 and 153,923.58 is: 230,885.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,441 : 567,661.50 = 153,923.58 : x
  2. Step 2: Convert to fraction form
    378,441/567,661.50 = 153,923.58/x
  3. Step 3: Cross multiply
    378,441x = 567,661.50 × 153,923.58
  4. Step 4: Simplify right side
    378,441x = 87,376,490,308.17
  5. Step 5: Solve for x
    x = 87,376,490,308.17/378,441
  6. Step 6: Final answer
    x = 230,885.37

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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.