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Finding the Fourth Proportional to 441,533.98, 662,399.73 and 161,051.23

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Solution

The fourth proportional to 441,533.98, 662,399.73 and 161,051.23 is: 241,612.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,533.98 : 662,399.73 = 161,051.23 : x
  2. Step 2: Convert to fraction form
    441,533.98/662,399.73 = 161,051.23/x
  3. Step 3: Cross multiply
    441,533.98x = 662,399.73 × 161,051.23
  4. Step 4: Simplify right side
    441,533.98x = 106,680,291,268.17
  5. Step 5: Solve for x
    x = 106,680,291,268.17/441,533.98
  6. Step 6: Final answer
    x = 241,612.87

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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.