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Finding the Fourth Proportional to 635,797, 877,516.50 and 367,525

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Solution

The fourth proportional to 635,797, 877,516.50 and 367,525 is: 507,251.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,797 : 877,516.50 = 367,525 : x
  2. Step 2: Convert to fraction form
    635,797/877,516.50 = 367,525/x
  3. Step 3: Cross multiply
    635,797x = 877,516.50 × 367,525
  4. Step 4: Simplify right side
    635,797x = 322,509,251,662.50
  5. Step 5: Solve for x
    x = 322,509,251,662.50/635,797
  6. Step 6: Final answer
    x = 507,251.92

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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.