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Finding the Fourth Proportional to 229,257.60, 343,886.40 and 145,276.80

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Solution

The fourth proportional to 229,257.60, 343,886.40 and 145,276.80 is: 217,915.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,257.60 : 343,886.40 = 145,276.80 : x
  2. Step 2: Convert to fraction form
    229,257.60/343,886.40 = 145,276.80/x
  3. Step 3: Cross multiply
    229,257.60x = 343,886.40 × 145,276.80
  4. Step 4: Simplify right side
    229,257.60x = 49,958,715,755.52
  5. Step 5: Solve for x
    x = 49,958,715,755.52/229,257.60
  6. Step 6: Final answer
    x = 217,915.20

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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.