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Finding the Fourth Proportional to 561,888, 842,832.81 and 229,464

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Solution

The fourth proportional to 561,888, 842,832.81 and 229,464 is: 344,196.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,888 : 842,832.81 = 229,464 : x
  2. Step 2: Convert to fraction form
    561,888/842,832.81 = 229,464/x
  3. Step 3: Cross multiply
    561,888x = 842,832.81 × 229,464
  4. Step 4: Simplify right side
    561,888x = 193,399,787,913.84
  5. Step 5: Solve for x
    x = 193,399,787,913.84/561,888
  6. Step 6: Final answer
    x = 344,196.33

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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.