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Finding the Fourth Proportional to 1,591,396, 2,387,094 and 540,772

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Solution

The fourth proportional to 1,591,396, 2,387,094 and 540,772 is: 811,158

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591,396 : 2,387,094 = 540,772 : x
  2. Step 2: Convert to fraction form
    1,591,396/2,387,094 = 540,772/x
  3. Step 3: Cross multiply
    1,591,396x = 2,387,094 × 540,772
  4. Step 4: Simplify right side
    1,591,396x = 1,290,873,596,568
  5. Step 5: Solve for x
    x = 1,290,873,596,568/1,591,396
  6. Step 6: Final answer
    x = 811,158

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.