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Finding the Fourth Proportional to 406,595, 561,101.14 and 247,619

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Solution

The fourth proportional to 406,595, 561,101.14 and 247,619 is: 341,714.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,595 : 561,101.14 = 247,619 : x
  2. Step 2: Convert to fraction form
    406,595/561,101.14 = 247,619/x
  3. Step 3: Cross multiply
    406,595x = 561,101.14 × 247,619
  4. Step 4: Simplify right side
    406,595x = 138,939,303,185.66
  5. Step 5: Solve for x
    x = 138,939,303,185.66/406,595
  6. Step 6: Final answer
    x = 341,714.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.