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Finding the Fourth Proportional to 219,894.40, 329,841.60 and 200,211.40

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Solution

The fourth proportional to 219,894.40, 329,841.60 and 200,211.40 is: 300,317.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,894.40 : 329,841.60 = 200,211.40 : x
  2. Step 2: Convert to fraction form
    219,894.40/329,841.60 = 200,211.40/x
  3. Step 3: Cross multiply
    219,894.40x = 329,841.60 × 200,211.40
  4. Step 4: Simplify right side
    219,894.40x = 66,038,048,514.24
  5. Step 5: Solve for x
    x = 66,038,048,514.24/219,894.40
  6. Step 6: Final answer
    x = 300,317.10

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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.