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Finding the Fourth Proportional to 231,200.70, 346,801.05 and 206,706.30

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Solution

The fourth proportional to 231,200.70, 346,801.05 and 206,706.30 is: 310,059.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,200.70 : 346,801.05 = 206,706.30 : x
  2. Step 2: Convert to fraction form
    231,200.70/346,801.05 = 206,706.30/x
  3. Step 3: Cross multiply
    231,200.70x = 346,801.05 × 206,706.30
  4. Step 4: Simplify right side
    231,200.70x = 71,685,961,881.62
  5. Step 5: Solve for x
    x = 71,685,961,881.62/231,200.70
  6. Step 6: Final answer
    x = 310,059.45

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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.