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Finding the Fourth Proportional to 235,254.80, 351,910.20 and 214,492.88

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Solution

The fourth proportional to 235,254.80, 351,910.20 and 214,492.88 is: 320,853.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,254.80 : 351,910.20 = 214,492.88 : x
  2. Step 2: Convert to fraction form
    235,254.80/351,910.20 = 214,492.88/x
  3. Step 3: Cross multiply
    235,254.80x = 351,910.20 × 214,492.88
  4. Step 4: Simplify right side
    235,254.80x = 75,482,232,299.38
  5. Step 5: Solve for x
    x = 75,482,232,299.38/235,254.80
  6. Step 6: Final answer
    x = 320,853.10

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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.