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Finding the Fourth Proportional to 635,796, 877,515.12 and 367,524

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Solution

The fourth proportional to 635,796, 877,515.12 and 367,524 is: 507,250.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,796 : 877,515.12 = 367,524 : x
  2. Step 2: Convert to fraction form
    635,796/877,515.12 = 367,524/x
  3. Step 3: Cross multiply
    635,796x = 877,515.12 × 367,524
  4. Step 4: Simplify right side
    635,796x = 322,507,866,962.88
  5. Step 5: Solve for x
    x = 322,507,866,962.88/635,796
  6. Step 6: Final answer
    x = 507,250.54

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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.