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Finding the Fourth Proportional to 495,722.96, 684,096.40 and 269,368.48

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Solution

The fourth proportional to 495,722.96, 684,096.40 and 269,368.48 is: 371,727.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,722.96 : 684,096.40 = 269,368.48 : x
  2. Step 2: Convert to fraction form
    495,722.96/684,096.40 = 269,368.48/x
  3. Step 3: Cross multiply
    495,722.96x = 684,096.40 × 269,368.48
  4. Step 4: Simplify right side
    495,722.96x = 184,274,007,441.47
  5. Step 5: Solve for x
    x = 184,274,007,441.47/495,722.96
  6. Step 6: Final answer
    x = 371,727.80

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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.