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Finding the Fourth Proportional to 289,257.60, 433,886.40 and 205,276.80

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Solution

The fourth proportional to 289,257.60, 433,886.40 and 205,276.80 is: 307,915.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,257.60 : 433,886.40 = 205,276.80 : x
  2. Step 2: Convert to fraction form
    289,257.60/433,886.40 = 205,276.80/x
  3. Step 3: Cross multiply
    289,257.60x = 433,886.40 × 205,276.80
  4. Step 4: Simplify right side
    289,257.60x = 89,066,811,755.52
  5. Step 5: Solve for x
    x = 89,066,811,755.52/289,257.60
  6. Step 6: Final answer
    x = 307,915.20

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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.