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Finding the Fourth Proportional to 495,894.92, 684,335.94 and 269,539.88

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Solution

The fourth proportional to 495,894.92, 684,335.94 and 269,539.88 is: 371,965.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,894.92 : 684,335.94 = 269,539.88 : x
  2. Step 2: Convert to fraction form
    495,894.92/684,335.94 = 269,539.88/x
  3. Step 3: Cross multiply
    495,894.92x = 684,335.94 × 269,539.88
  4. Step 4: Simplify right side
    495,894.92x = 184,455,827,147.29
  5. Step 5: Solve for x
    x = 184,455,827,147.29/495,894.92
  6. Step 6: Final answer
    x = 371,965.55

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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.