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Finding the Fourth Proportional to 751,181.04, 1,036,638 and 411,642

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Solution

The fourth proportional to 751,181.04, 1,036,638 and 411,642 is: 568,070.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,181.04 : 1,036,638 = 411,642 : x
  2. Step 2: Convert to fraction form
    751,181.04/1,036,638 = 411,642/x
  3. Step 3: Cross multiply
    751,181.04x = 1,036,638 × 411,642
  4. Step 4: Simplify right side
    751,181.04x = 426,723,739,596
  5. Step 5: Solve for x
    x = 426,723,739,596/751,181.04
  6. Step 6: Final answer
    x = 568,070.43

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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.