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Finding the Fourth Proportional to 361,998.14, 497,785.96 and 314,168.45

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Solution

The fourth proportional to 361,998.14, 497,785.96 and 314,168.45 is: 432,015.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,998.14 : 497,785.96 = 314,168.45 : x
  2. Step 2: Convert to fraction form
    361,998.14/497,785.96 = 314,168.45/x
  3. Step 3: Cross multiply
    361,998.14x = 497,785.96 × 314,168.45
  4. Step 4: Simplify right side
    361,998.14x = 156,388,645,072.39
  5. Step 5: Solve for x
    x = 156,388,645,072.39/361,998.14
  6. Step 6: Final answer
    x = 432,015.05

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1.5x scale

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.