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Finding the Fourth Proportional to 461,980.36, 637,519.76 and 258,025.30

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Solution

The fourth proportional to 461,980.36, 637,519.76 and 258,025.30 is: 356,067.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,980.36 : 637,519.76 = 258,025.30 : x
  2. Step 2: Convert to fraction form
    461,980.36/637,519.76 = 258,025.30/x
  3. Step 3: Cross multiply
    461,980.36x = 637,519.76 × 258,025.30
  4. Step 4: Simplify right side
    461,980.36x = 164,496,226,864.99
  5. Step 5: Solve for x
    x = 164,496,226,864.99/461,980.36
  6. Step 6: Final answer
    x = 356,067.57

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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.