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Finding the Fourth Proportional to 461,700.09, 637,178.31 and 257,791.14

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Solution

The fourth proportional to 461,700.09, 637,178.31 and 257,791.14 is: 355,769.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,700.09 : 637,178.31 = 257,791.14 : x
  2. Step 2: Convert to fraction form
    461,700.09/637,178.31 = 257,791.14/x
  3. Step 3: Cross multiply
    461,700.09x = 637,178.31 × 257,791.14
  4. Step 4: Simplify right side
    461,700.09x = 164,258,922,918.17
  5. Step 5: Solve for x
    x = 164,258,922,918.17/461,700.09
  6. Step 6: Final answer
    x = 355,769.74

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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.