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Finding the Fourth Proportional to 290,784.74, 401,282.91 and 163,460.33

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Solution

The fourth proportional to 290,784.74, 401,282.91 and 163,460.33 is: 225,575.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,784.74 : 401,282.91 = 163,460.33 : x
  2. Step 2: Convert to fraction form
    290,784.74/401,282.91 = 163,460.33/x
  3. Step 3: Cross multiply
    290,784.74x = 401,282.91 × 163,460.33
  4. Step 4: Simplify right side
    290,784.74x = 65,593,836,390.36
  5. Step 5: Solve for x
    x = 65,593,836,390.36/290,784.74
  6. Step 6: Final answer
    x = 225,575.24

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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.