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Finding the Fourth Proportional to 561,858.66, 842,662.44 and 162,410.40

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Solution

The fourth proportional to 561,858.66, 842,662.44 and 162,410.40 is: 243,579.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,858.66 : 842,662.44 = 162,410.40 : x
  2. Step 2: Convert to fraction form
    561,858.66/842,662.44 = 162,410.40/x
  3. Step 3: Cross multiply
    561,858.66x = 842,662.44 × 162,410.40
  4. Step 4: Simplify right side
    561,858.66x = 136,857,143,945.38
  5. Step 5: Solve for x
    x = 136,857,143,945.38/561,858.66
  6. Step 6: Final answer
    x = 243,579.31

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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.