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Finding the Fourth Proportional to 613,530.25, 920,341.50 and 164,241.17

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Solution

The fourth proportional to 613,530.25, 920,341.50 and 164,241.17 is: 246,374.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,530.25 : 920,341.50 = 164,241.17 : x
  2. Step 2: Convert to fraction form
    613,530.25/920,341.50 = 164,241.17/x
  3. Step 3: Cross multiply
    613,530.25x = 920,341.50 × 164,241.17
  4. Step 4: Simplify right side
    613,530.25x = 151,157,964,759.56
  5. Step 5: Solve for x
    x = 151,157,964,759.56/613,530.25
  6. Step 6: Final answer
    x = 246,374.10

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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.