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Finding the Fourth Proportional to 496,213.48, 684,952.74 and 295,009

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Solution

The fourth proportional to 496,213.48, 684,952.74 and 295,009 is: 407,218.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,213.48 : 684,952.74 = 295,009 : x
  2. Step 2: Convert to fraction form
    496,213.48/684,952.74 = 295,009/x
  3. Step 3: Cross multiply
    496,213.48x = 684,952.74 × 295,009
  4. Step 4: Simplify right side
    496,213.48x = 202,067,222,874.66
  5. Step 5: Solve for x
    x = 202,067,222,874.66/496,213.48
  6. Step 6: Final answer
    x = 407,218.33

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1.5x scale

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.