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Finding the Fourth Proportional to 235,996.40, 353,764.20 and 211,113.20

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Solution

The fourth proportional to 235,996.40, 353,764.20 and 211,113.20 is: 316,463.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,996.40 : 353,764.20 = 211,113.20 : x
  2. Step 2: Convert to fraction form
    235,996.40/353,764.20 = 211,113.20/x
  3. Step 3: Cross multiply
    235,996.40x = 353,764.20 × 211,113.20
  4. Step 4: Simplify right side
    235,996.40x = 74,684,292,307.44
  5. Step 5: Solve for x
    x = 74,684,292,307.44/235,996.40
  6. Step 6: Final answer
    x = 316,463.69

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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.