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Finding the Fourth Proportional to 662,809.14, 914,676.30 and 361,003.14

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Solution

The fourth proportional to 662,809.14, 914,676.30 and 361,003.14 is: 498,184.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,809.14 : 914,676.30 = 361,003.14 : x
  2. Step 2: Convert to fraction form
    662,809.14/914,676.30 = 361,003.14/x
  3. Step 3: Cross multiply
    662,809.14x = 914,676.30 × 361,003.14
  4. Step 4: Simplify right side
    662,809.14x = 330,201,016,383.58
  5. Step 5: Solve for x
    x = 330,201,016,383.58/662,809.14
  6. Step 6: Final answer
    x = 498,184.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.