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Finding the Fourth Proportional to 219,905.40, 329,858.10 and 200,222.40

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Solution

The fourth proportional to 219,905.40, 329,858.10 and 200,222.40 is: 300,333.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,905.40 : 329,858.10 = 200,222.40 : x
  2. Step 2: Convert to fraction form
    219,905.40/329,858.10 = 200,222.40/x
  3. Step 3: Cross multiply
    219,905.40x = 329,858.10 × 200,222.40
  4. Step 4: Simplify right side
    219,905.40x = 66,044,980,441.44
  5. Step 5: Solve for x
    x = 66,044,980,441.44/219,905.40
  6. Step 6: Final answer
    x = 300,333.60

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1.5x scale

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.