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Finding the Fourth Proportional to 411,691.60, 616,662.60 and 341,707.60

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Solution

The fourth proportional to 411,691.60, 616,662.60 and 341,707.60 is: 511,835.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,691.60 : 616,662.60 = 341,707.60 : x
  2. Step 2: Convert to fraction form
    411,691.60/616,662.60 = 341,707.60/x
  3. Step 3: Cross multiply
    411,691.60x = 616,662.60 × 341,707.60
  4. Step 4: Simplify right side
    411,691.60x = 210,718,297,055.76
  5. Step 5: Solve for x
    x = 210,718,297,055.76/411,691.60
  6. Step 6: Final answer
    x = 511,835.31

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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.