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Finding the Fourth Proportional to 235,635.20, 353,452.80 and 210,047.30

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Solution

The fourth proportional to 235,635.20, 353,452.80 and 210,047.30 is: 315,070.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,635.20 : 353,452.80 = 210,047.30 : x
  2. Step 2: Convert to fraction form
    235,635.20/353,452.80 = 210,047.30/x
  3. Step 3: Cross multiply
    235,635.20x = 353,452.80 × 210,047.30
  4. Step 4: Simplify right side
    235,635.20x = 74,241,806,317.44
  5. Step 5: Solve for x
    x = 74,241,806,317.44/235,635.20
  6. Step 6: Final answer
    x = 315,070.95

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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.