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Finding the Fourth Proportional to 495,838.56, 684,229.44 and 269,482.56

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Solution

The fourth proportional to 495,838.56, 684,229.44 and 269,482.56 is: 371,870.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,838.56 : 684,229.44 = 269,482.56 : x
  2. Step 2: Convert to fraction form
    495,838.56/684,229.44 = 269,482.56/x
  3. Step 3: Cross multiply
    495,838.56x = 684,229.44 × 269,482.56
  4. Step 4: Simplify right side
    495,838.56x = 184,387,901,118.57
  5. Step 5: Solve for x
    x = 184,387,901,118.57/495,838.56
  6. Step 6: Final answer
    x = 371,870.84

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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.