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Finding the Fourth Proportional to 495,797.94, 684,208.53 and 269,443.62

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Solution

The fourth proportional to 495,797.94, 684,208.53 and 269,443.62 is: 371,836.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,797.94 : 684,208.53 = 269,443.62 : x
  2. Step 2: Convert to fraction form
    495,797.94/684,208.53 = 269,443.62/x
  3. Step 3: Cross multiply
    495,797.94x = 684,208.53 × 269,443.62
  4. Step 4: Simplify right side
    495,797.94x = 184,355,623,158.08
  5. Step 5: Solve for x
    x = 184,355,623,158.08/495,797.94
  6. Step 6: Final answer
    x = 371,836.20

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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.