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Finding the Fourth Proportional to 495,718.96, 684,090.88 and 269,364.48

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Solution

The fourth proportional to 495,718.96, 684,090.88 and 269,364.48 is: 371,722.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,718.96 : 684,090.88 = 269,364.48 : x
  2. Step 2: Convert to fraction form
    495,718.96/684,090.88 = 269,364.48/x
  3. Step 3: Cross multiply
    495,718.96x = 684,090.88 × 269,364.48
  4. Step 4: Simplify right side
    495,718.96x = 184,269,784,163.94
  5. Step 5: Solve for x
    x = 184,269,784,163.94/495,718.96
  6. Step 6: Final answer
    x = 371,722.28

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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.