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Finding the Fourth Proportional to 662,812.14, 914,680.44 and 361,006.14

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Solution

The fourth proportional to 662,812.14, 914,680.44 and 361,006.14 is: 498,188.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,812.14 : 914,680.44 = 361,006.14 : x
  2. Step 2: Convert to fraction form
    662,812.14/914,680.44 = 361,006.14/x
  3. Step 3: Cross multiply
    662,812.14x = 914,680.44 × 361,006.14
  4. Step 4: Simplify right side
    662,812.14x = 330,205,254,977.90
  5. Step 5: Solve for x
    x = 330,205,254,977.90/662,812.14
  6. Step 6: Final answer
    x = 498,188.30

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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.