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Finding the Fourth Proportional to 495,808.44, 684,196.38 and 269,449.08

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Solution

The fourth proportional to 495,808.44, 684,196.38 and 269,449.08 is: 371,829.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,808.44 : 684,196.38 = 269,449.08 : x
  2. Step 2: Convert to fraction form
    495,808.44/684,196.38 = 269,449.08/x
  3. Step 3: Cross multiply
    495,808.44x = 684,196.38 × 269,449.08
  4. Step 4: Simplify right side
    495,808.44x = 184,356,085,130.33
  5. Step 5: Solve for x
    x = 184,356,085,130.33/495,808.44
  6. Step 6: Final answer
    x = 371,829.26

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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.