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Finding the Fourth Proportional to 333,723.21, 500,580.54 and 81,005.64

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Solution

The fourth proportional to 333,723.21, 500,580.54 and 81,005.64 is: 121,507.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,723.21 : 500,580.54 = 81,005.64 : x
  2. Step 2: Convert to fraction form
    333,723.21/500,580.54 = 81,005.64/x
  3. Step 3: Cross multiply
    333,723.21x = 500,580.54 × 81,005.64
  4. Step 4: Simplify right side
    333,723.21x = 40,549,847,014.25
  5. Step 5: Solve for x
    x = 40,549,847,014.25/333,723.21
  6. Step 6: Final answer
    x = 121,507.42

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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.