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Finding the Fourth Proportional to 554,997.62, 765,258.26 and 410,013.20

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Solution

The fourth proportional to 554,997.62, 765,258.26 and 410,013.20 is: 565,346.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,997.62 : 765,258.26 = 410,013.20 : x
  2. Step 2: Convert to fraction form
    554,997.62/765,258.26 = 410,013.20/x
  3. Step 3: Cross multiply
    554,997.62x = 765,258.26 × 410,013.20
  4. Step 4: Simplify right side
    554,997.62x = 313,765,988,009.03
  5. Step 5: Solve for x
    x = 313,765,988,009.03/554,997.62
  6. Step 6: Final answer
    x = 565,346.55

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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.