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Finding the Fourth Proportional to 503,820.25, 695,268.89 and 277,464.13

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Solution

The fourth proportional to 503,820.25, 695,268.89 and 277,464.13 is: 382,898.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,820.25 : 695,268.89 = 277,464.13 : x
  2. Step 2: Convert to fraction form
    503,820.25/695,268.89 = 277,464.13/x
  3. Step 3: Cross multiply
    503,820.25x = 695,268.89 × 277,464.13
  4. Step 4: Simplify right side
    503,820.25x = 192,912,177,679.92
  5. Step 5: Solve for x
    x = 192,912,177,679.92/503,820.25
  6. Step 6: Final answer
    x = 382,898.82

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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.