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Finding the Fourth Proportional to 333,004.90, 498,523.20 and 220,811.80

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Solution

The fourth proportional to 333,004.90, 498,523.20 and 220,811.80 is: 330,565.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,004.90 : 498,523.20 = 220,811.80 : x
  2. Step 2: Convert to fraction form
    333,004.90/498,523.20 = 220,811.80/x
  3. Step 3: Cross multiply
    333,004.90x = 498,523.20 × 220,811.80
  4. Step 4: Simplify right side
    333,004.90x = 110,079,805,133.76
  5. Step 5: Solve for x
    x = 110,079,805,133.76/333,004.90
  6. Step 6: Final answer
    x = 330,565.12

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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.