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Finding the Fourth Proportional to 406,163.60, 561,276.84 and 305,386.64

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Solution

The fourth proportional to 406,163.60, 561,276.84 and 305,386.64 is: 422,013.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,163.60 : 561,276.84 = 305,386.64 : x
  2. Step 2: Convert to fraction form
    406,163.60/561,276.84 = 305,386.64/x
  3. Step 3: Cross multiply
    406,163.60x = 561,276.84 × 305,386.64
  4. Step 4: Simplify right side
    406,163.60x = 171,406,448,277.42
  5. Step 5: Solve for x
    x = 171,406,448,277.42/406,163.60
  6. Step 6: Final answer
    x = 422,013.32

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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.