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Finding the Fourth Proportional to 411,506.76, 616,699.66 and 231,678.04

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Solution

The fourth proportional to 411,506.76, 616,699.66 and 231,678.04 is: 347,201.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,506.76 : 616,699.66 = 231,678.04 : x
  2. Step 2: Convert to fraction form
    411,506.76/616,699.66 = 231,678.04/x
  3. Step 3: Cross multiply
    411,506.76x = 616,699.66 × 231,678.04
  4. Step 4: Simplify right side
    411,506.76x = 142,875,768,497.47
  5. Step 5: Solve for x
    x = 142,875,768,497.47/411,506.76
  6. Step 6: Final answer
    x = 347,201.51

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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.