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Finding the Fourth Proportional to 495,975, 684,450.36 and 269,625.36

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Solution

The fourth proportional to 495,975, 684,450.36 and 269,625.36 is: 372,085.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,975 : 684,450.36 = 269,625.36 : x
  2. Step 2: Convert to fraction form
    495,975/684,450.36 = 269,625.36/x
  3. Step 3: Cross multiply
    495,975x = 684,450.36 × 269,625.36
  4. Step 4: Simplify right side
    495,975x = 184,545,174,717.13
  5. Step 5: Solve for x
    x = 184,545,174,717.13/495,975
  6. Step 6: Final answer
    x = 372,085.64

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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.