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Finding the Fourth Proportional to 503,640.34, 695,022.42 and 277,285.84

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Solution

The fourth proportional to 503,640.34, 695,022.42 and 277,285.84 is: 382,653.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,640.34 : 695,022.42 = 277,285.84 : x
  2. Step 2: Convert to fraction form
    503,640.34/695,022.42 = 277,285.84/x
  3. Step 3: Cross multiply
    503,640.34x = 695,022.42 × 277,285.84
  4. Step 4: Simplify right side
    503,640.34x = 192,719,875,548.53
  5. Step 5: Solve for x
    x = 192,719,875,548.53/503,640.34
  6. Step 6: Final answer
    x = 382,653.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.