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Finding the Fourth Proportional to 290,552, 400,983.63 and 177,396.62

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Solution

The fourth proportional to 290,552, 400,983.63 and 177,396.62 is: 244,820.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,552 : 400,983.63 = 177,396.62 : x
  2. Step 2: Convert to fraction form
    290,552/400,983.63 = 177,396.62/x
  3. Step 3: Cross multiply
    290,552x = 400,983.63 × 177,396.62
  4. Step 4: Simplify right side
    290,552x = 71,133,140,637.33
  5. Step 5: Solve for x
    x = 71,133,140,637.33/290,552
  6. Step 6: Final answer
    x = 244,820.69

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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.