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Finding the Fourth Proportional to 495,717.66, 684,094.47 and 269,363.16

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Solution

The fourth proportional to 495,717.66, 684,094.47 and 269,363.16 is: 371,723.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,717.66 : 684,094.47 = 269,363.16 : x
  2. Step 2: Convert to fraction form
    495,717.66/684,094.47 = 269,363.16/x
  3. Step 3: Cross multiply
    495,717.66x = 684,094.47 × 269,363.16
  4. Step 4: Simplify right side
    495,717.66x = 184,269,848,177.73
  5. Step 5: Solve for x
    x = 184,269,848,177.73/495,717.66
  6. Step 6: Final answer
    x = 371,723.39

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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.