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Finding the Fourth Proportional to 383,852.87, 575,654.56 and 127,616.45

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Solution

The fourth proportional to 383,852.87, 575,654.56 and 127,616.45 is: 191,383.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,852.87 : 575,654.56 = 127,616.45 : x
  2. Step 2: Convert to fraction form
    383,852.87/575,654.56 = 127,616.45/x
  3. Step 3: Cross multiply
    383,852.87x = 575,654.56 × 127,616.45
  4. Step 4: Simplify right side
    383,852.87x = 73,462,992,493.61
  5. Step 5: Solve for x
    x = 73,462,992,493.61/383,852.87
  6. Step 6: Final answer
    x = 191,383.21

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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.