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Finding the Fourth Proportional to 552,238.94, 827,275.84 and 286,173.98

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Solution

The fourth proportional to 552,238.94, 827,275.84 and 286,173.98 is: 428,699.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,238.94 : 827,275.84 = 286,173.98 : x
  2. Step 2: Convert to fraction form
    552,238.94/827,275.84 = 286,173.98/x
  3. Step 3: Cross multiply
    552,238.94x = 827,275.84 × 286,173.98
  4. Step 4: Simplify right side
    552,238.94x = 236,744,819,690.64
  5. Step 5: Solve for x
    x = 236,744,819,690.64/552,238.94
  6. Step 6: Final answer
    x = 428,699.97

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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.