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Finding the Fourth Proportional to 333,566.86, 500,478.54 and 200,538.94

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Solution

The fourth proportional to 333,566.86, 500,478.54 and 200,538.94 is: 300,885.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,566.86 : 500,478.54 = 200,538.94 : x
  2. Step 2: Convert to fraction form
    333,566.86/500,478.54 = 200,538.94/x
  3. Step 3: Cross multiply
    333,566.86x = 500,478.54 × 200,538.94
  4. Step 4: Simplify right side
    333,566.86x = 100,365,435,904.35
  5. Step 5: Solve for x
    x = 100,365,435,904.35/333,566.86
  6. Step 6: Final answer
    x = 300,885.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.