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Finding the Fourth Proportional to 407,260.51, 610,892.79 and 167,505.17

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Solution

The fourth proportional to 407,260.51, 610,892.79 and 167,505.17 is: 251,258.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,260.51 : 610,892.79 = 167,505.17 : x
  2. Step 2: Convert to fraction form
    407,260.51/610,892.79 = 167,505.17/x
  3. Step 3: Cross multiply
    407,260.51x = 610,892.79 × 167,505.17
  4. Step 4: Simplify right side
    407,260.51x = 102,327,696,958.12
  5. Step 5: Solve for x
    x = 102,327,696,958.12/407,260.51
  6. Step 6: Final answer
    x = 251,258.58

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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.