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Finding the Fourth Proportional to 379,160.76, 567,978.12 and 179,673.51

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Solution

The fourth proportional to 379,160.76, 567,978.12 and 179,673.51 is: 269,148.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,160.76 : 567,978.12 = 179,673.51 : x
  2. Step 2: Convert to fraction form
    379,160.76/567,978.12 = 179,673.51/x
  3. Step 3: Cross multiply
    379,160.76x = 567,978.12 × 179,673.51
  4. Step 4: Simplify right side
    379,160.76x = 102,050,622,423.60
  5. Step 5: Solve for x
    x = 102,050,622,423.60/379,160.76
  6. Step 6: Final answer
    x = 269,148.69

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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.