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Finding the Fourth Proportional to 290,547.28, 400,911.60 and 163,198.48

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Solution

The fourth proportional to 290,547.28, 400,911.60 and 163,198.48 is: 225,189.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,547.28 : 400,911.60 = 163,198.48 : x
  2. Step 2: Convert to fraction form
    290,547.28/400,911.60 = 163,198.48/x
  3. Step 3: Cross multiply
    290,547.28x = 400,911.60 × 163,198.48
  4. Step 4: Simplify right side
    290,547.28x = 65,428,163,734.37
  5. Step 5: Solve for x
    x = 65,428,163,734.37/290,547.28
  6. Step 6: Final answer
    x = 225,189.39

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Why These Related Problems?

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