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Finding the Fourth Proportional to 750,817, 1,036,127.46 and 411,286.60

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Solution

The fourth proportional to 750,817, 1,036,127.46 and 411,286.60 is: 567,575.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,817 : 1,036,127.46 = 411,286.60 : x
  2. Step 2: Convert to fraction form
    750,817/1,036,127.46 = 411,286.60/x
  3. Step 3: Cross multiply
    750,817x = 1,036,127.46 × 411,286.60
  4. Step 4: Simplify right side
    750,817x = 426,145,340,190.04
  5. Step 5: Solve for x
    x = 426,145,340,190.04/750,817
  6. Step 6: Final answer
    x = 567,575.51

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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.