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Finding the Fourth Proportional to 406,039.20, 607,330.80 and 364,221.60

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Solution

The fourth proportional to 406,039.20, 607,330.80 and 364,221.60 is: 544,782.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,039.20 : 607,330.80 = 364,221.60 : x
  2. Step 2: Convert to fraction form
    406,039.20/607,330.80 = 364,221.60/x
  3. Step 3: Cross multiply
    406,039.20x = 607,330.80 × 364,221.60
  4. Step 4: Simplify right side
    406,039.20x = 221,202,995,705.28
  5. Step 5: Solve for x
    x = 221,202,995,705.28/406,039.20
  6. Step 6: Final answer
    x = 544,782.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.