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Finding the Fourth Proportional to 378,416.98, 567,627.71 and 112,179.74

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Solution

The fourth proportional to 378,416.98, 567,627.71 and 112,179.74 is: 168,270.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,416.98 : 567,627.71 = 112,179.74 : x
  2. Step 2: Convert to fraction form
    378,416.98/567,627.71 = 112,179.74/x
  3. Step 3: Cross multiply
    378,416.98x = 567,627.71 × 112,179.74
  4. Step 4: Simplify right side
    378,416.98x = 63,676,328,924.60
  5. Step 5: Solve for x
    x = 63,676,328,924.60/378,416.98
  6. Step 6: Final answer
    x = 168,270.27

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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.