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Finding the Fourth Proportional to 450,947.54, 676,525 and 135,410.42

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Solution

The fourth proportional to 450,947.54, 676,525 and 135,410.42 is: 203,146.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,947.54 : 676,525 = 135,410.42 : x
  2. Step 2: Convert to fraction form
    450,947.54/676,525 = 135,410.42/x
  3. Step 3: Cross multiply
    450,947.54x = 676,525 × 135,410.42
  4. Step 4: Simplify right side
    450,947.54x = 91,608,534,390.50
  5. Step 5: Solve for x
    x = 91,608,534,390.50/450,947.54
  6. Step 6: Final answer
    x = 203,146.77

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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.