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Finding the Fourth Proportional to 411,314.60, 616,097.10 and 341,330.60

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Solution

The fourth proportional to 411,314.60, 616,097.10 and 341,330.60 is: 511,269.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,314.60 : 616,097.10 = 341,330.60 : x
  2. Step 2: Convert to fraction form
    411,314.60/616,097.10 = 341,330.60/x
  3. Step 3: Cross multiply
    411,314.60x = 616,097.10 × 341,330.60
  4. Step 4: Simplify right side
    411,314.60x = 210,292,792,801.26
  5. Step 5: Solve for x
    x = 210,292,792,801.26/411,314.60
  6. Step 6: Final answer
    x = 511,269.94

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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.