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Finding the Fourth Proportional to 352,137.60, 527,515.20 and 211,478.40

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Solution

The fourth proportional to 352,137.60, 527,515.20 and 211,478.40 is: 316,802.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,137.60 : 527,515.20 = 211,478.40 : x
  2. Step 2: Convert to fraction form
    352,137.60/527,515.20 = 211,478.40/x
  3. Step 3: Cross multiply
    352,137.60x = 527,515.20 × 211,478.40
  4. Step 4: Simplify right side
    352,137.60x = 111,558,070,471.68
  5. Step 5: Solve for x
    x = 111,558,070,471.68/352,137.60
  6. Step 6: Final answer
    x = 316,802.50

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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.