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Finding the Fourth Proportional to 378,714.67, 567,671.65 and 165,295.46

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Solution

The fourth proportional to 378,714.67, 567,671.65 and 165,295.46 is: 247,768.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,714.67 : 567,671.65 = 165,295.46 : x
  2. Step 2: Convert to fraction form
    378,714.67/567,671.65 = 165,295.46/x
  3. Step 3: Cross multiply
    378,714.67x = 567,671.65 × 165,295.46
  4. Step 4: Simplify right side
    378,714.67x = 93,833,546,515.71
  5. Step 5: Solve for x
    x = 93,833,546,515.71/378,714.67
  6. Step 6: Final answer
    x = 247,768.45

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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.