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Finding the Fourth Proportional to 650,566.40, 978,182.40 and 547,923.20

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Solution

The fourth proportional to 650,566.40, 978,182.40 and 547,923.20 is: 823,849.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,566.40 : 978,182.40 = 547,923.20 : x
  2. Step 2: Convert to fraction form
    650,566.40/978,182.40 = 547,923.20/x
  3. Step 3: Cross multiply
    650,566.40x = 978,182.40 × 547,923.20
  4. Step 4: Simplify right side
    650,566.40x = 535,968,830,791.68
  5. Step 5: Solve for x
    x = 535,968,830,791.68/650,566.40
  6. Step 6: Final answer
    x = 823,849.54

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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.