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Finding the Fourth Proportional to 241,816.32, 362,724 and 64,323.54

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Solution

The fourth proportional to 241,816.32, 362,724 and 64,323.54 is: 96,485.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,816.32 : 362,724 = 64,323.54 : x
  2. Step 2: Convert to fraction form
    241,816.32/362,724 = 64,323.54/x
  3. Step 3: Cross multiply
    241,816.32x = 362,724 × 64,323.54
  4. Step 4: Simplify right side
    241,816.32x = 23,331,691,722.96
  5. Step 5: Solve for x
    x = 23,331,691,722.96/241,816.32
  6. Step 6: Final answer
    x = 96,485.18

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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.