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Finding the Fourth Proportional to 467,952.94, 645,775.10 and 253,092.96

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Solution

The fourth proportional to 467,952.94, 645,775.10 and 253,092.96 is: 349,268.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,952.94 : 645,775.10 = 253,092.96 : x
  2. Step 2: Convert to fraction form
    467,952.94/645,775.10 = 253,092.96/x
  3. Step 3: Cross multiply
    467,952.94x = 645,775.10 × 253,092.96
  4. Step 4: Simplify right side
    467,952.94x = 163,441,131,553.30
  5. Step 5: Solve for x
    x = 163,441,131,553.30/467,952.94
  6. Step 6: Final answer
    x = 349,268.31

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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.