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Finding the Fourth Proportional to 495,912.52, 684,355.98 and 269,558.02

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Solution

The fourth proportional to 495,912.52, 684,355.98 and 269,558.02 is: 371,988.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,912.52 : 684,355.98 = 269,558.02 : x
  2. Step 2: Convert to fraction form
    495,912.52/684,355.98 = 269,558.02/x
  3. Step 3: Cross multiply
    495,912.52x = 684,355.98 × 269,558.02
  4. Step 4: Simplify right side
    495,912.52x = 184,473,642,943.96
  5. Step 5: Solve for x
    x = 184,473,642,943.96/495,912.52
  6. Step 6: Final answer
    x = 371,988.28

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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.