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Finding the Fourth Proportional to 229,503.60, 344,255.40 and 206,175.60

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Solution

The fourth proportional to 229,503.60, 344,255.40 and 206,175.60 is: 309,263.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,503.60 : 344,255.40 = 206,175.60 : x
  2. Step 2: Convert to fraction form
    229,503.60/344,255.40 = 206,175.60/x
  3. Step 3: Cross multiply
    229,503.60x = 344,255.40 × 206,175.60
  4. Step 4: Simplify right side
    229,503.60x = 70,977,063,648.24
  5. Step 5: Solve for x
    x = 70,977,063,648.24/229,503.60
  6. Step 6: Final answer
    x = 309,263.40

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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.