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Finding the Fourth Proportional to 461,097.48, 690,206.94 and 339,654.93

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Solution

The fourth proportional to 461,097.48, 690,206.94 and 339,654.93 is: 508,422.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,097.48 : 690,206.94 = 339,654.93 : x
  2. Step 2: Convert to fraction form
    461,097.48/690,206.94 = 339,654.93/x
  3. Step 3: Cross multiply
    461,097.48x = 690,206.94 × 339,654.93
  4. Step 4: Simplify right side
    461,097.48x = 234,432,189,891.21
  5. Step 5: Solve for x
    x = 234,432,189,891.21/461,097.48
  6. Step 6: Final answer
    x = 508,422.19

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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.