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Finding the Fourth Proportional to 552,314.40, 827,793.48 and 285,923.16

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Solution

The fourth proportional to 552,314.40, 827,793.48 and 285,923.16 is: 428,533.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,314.40 : 827,793.48 = 285,923.16 : x
  2. Step 2: Convert to fraction form
    552,314.40/827,793.48 = 285,923.16/x
  3. Step 3: Cross multiply
    552,314.40x = 827,793.48 × 285,923.16
  4. Step 4: Simplify right side
    552,314.40x = 236,685,327,629.00
  5. Step 5: Solve for x
    x = 236,685,327,629.00/552,314.40
  6. Step 6: Final answer
    x = 428,533.69

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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.