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Finding the Fourth Proportional to 333,823.72, 500,863.42 and 200,798.20

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Solution

The fourth proportional to 333,823.72, 500,863.42 and 200,798.20 is: 301,274.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,823.72 : 500,863.42 = 200,798.20 : x
  2. Step 2: Convert to fraction form
    333,823.72/500,863.42 = 200,798.20/x
  3. Step 3: Cross multiply
    333,823.72x = 500,863.42 × 200,798.20
  4. Step 4: Simplify right side
    333,823.72x = 100,572,473,181.84
  5. Step 5: Solve for x
    x = 100,572,473,181.84/333,823.72
  6. Step 6: Final answer
    x = 301,274.20

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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.