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Finding the Fourth Proportional to 235,414.20, 352,602.90 and 209,148.60

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Solution

The fourth proportional to 235,414.20, 352,602.90 and 209,148.60 is: 313,262.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,414.20 : 352,602.90 = 209,148.60 : x
  2. Step 2: Convert to fraction form
    235,414.20/352,602.90 = 209,148.60/x
  3. Step 3: Cross multiply
    235,414.20x = 352,602.90 × 209,148.60
  4. Step 4: Simplify right side
    235,414.20x = 73,746,402,890.94
  5. Step 5: Solve for x
    x = 73,746,402,890.94/235,414.20
  6. Step 6: Final answer
    x = 313,262.34

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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.