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Finding the Fourth Proportional to 461,708.12, 637,189.38 and 257,799.14

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Solution

The fourth proportional to 461,708.12, 637,189.38 and 257,799.14 is: 355,780.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,708.12 : 637,189.38 = 257,799.14 : x
  2. Step 2: Convert to fraction form
    461,708.12/637,189.38 = 257,799.14/x
  3. Step 3: Cross multiply
    461,708.12x = 637,189.38 × 257,799.14
  4. Step 4: Simplify right side
    461,708.12x = 164,266,874,181.13
  5. Step 5: Solve for x
    x = 164,266,874,181.13/461,708.12
  6. Step 6: Final answer
    x = 355,780.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.