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Finding the Fourth Proportional to 340,046.60, 509,292.30 and 173,640.20

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Solution

The fourth proportional to 340,046.60, 509,292.30 and 173,640.20 is: 260,063.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,046.60 : 509,292.30 = 173,640.20 : x
  2. Step 2: Convert to fraction form
    340,046.60/509,292.30 = 173,640.20/x
  3. Step 3: Cross multiply
    340,046.60x = 509,292.30 × 173,640.20
  4. Step 4: Simplify right side
    340,046.60x = 88,433,616,830.46
  5. Step 5: Solve for x
    x = 88,433,616,830.46/340,046.60
  6. Step 6: Final answer
    x = 260,063.23

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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.