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Finding the Fourth Proportional to 495,712.49, 684,087.57 and 269,357.99

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Solution

The fourth proportional to 495,712.49, 684,087.57 and 269,357.99 is: 371,716.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,712.49 : 684,087.57 = 269,357.99 : x
  2. Step 2: Convert to fraction form
    495,712.49/684,087.57 = 269,357.99/x
  3. Step 3: Cross multiply
    495,712.49x = 684,087.57 × 269,357.99
  4. Step 4: Simplify right side
    495,712.49x = 184,264,451,492.39
  5. Step 5: Solve for x
    x = 184,264,451,492.39/495,712.49
  6. Step 6: Final answer
    x = 371,716.38

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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.