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Finding the Fourth Proportional to 294,142.40, 406,005.25 and 254,284.33

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Solution

The fourth proportional to 294,142.40, 406,005.25 and 254,284.33 is: 350,989.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,142.40 : 406,005.25 = 254,284.33 : x
  2. Step 2: Convert to fraction form
    294,142.40/406,005.25 = 254,284.33/x
  3. Step 3: Cross multiply
    294,142.40x = 406,005.25 × 254,284.33
  4. Step 4: Simplify right side
    294,142.40x = 103,240,772,593.43
  5. Step 5: Solve for x
    x = 103,240,772,593.43/294,142.40
  6. Step 6: Final answer
    x = 350,989.08

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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.