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Finding the Fourth Proportional to 290,329.32, 400,644.14 and 163,010.28

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Solution

The fourth proportional to 290,329.32, 400,644.14 and 163,010.28 is: 224,948.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,329.32 : 400,644.14 = 163,010.28 : x
  2. Step 2: Convert to fraction form
    290,329.32/400,644.14 = 163,010.28/x
  3. Step 3: Cross multiply
    290,329.32x = 400,644.14 × 163,010.28
  4. Step 4: Simplify right side
    290,329.32x = 65,309,112,626.71
  5. Step 5: Solve for x
    x = 65,309,112,626.71/290,329.32
  6. Step 6: Final answer
    x = 224,948.39

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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.