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Finding the Fourth Proportional to 495,854.92, 684,280.74 and 269,499.88

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Solution

The fourth proportional to 495,854.92, 684,280.74 and 269,499.88 is: 371,910.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,854.92 : 684,280.74 = 269,499.88 : x
  2. Step 2: Convert to fraction form
    495,854.92/684,280.74 = 269,499.88/x
  3. Step 3: Cross multiply
    495,854.92x = 684,280.74 × 269,499.88
  4. Step 4: Simplify right side
    495,854.92x = 184,413,577,316.31
  5. Step 5: Solve for x
    x = 184,413,577,316.31/495,854.92
  6. Step 6: Final answer
    x = 371,910.35

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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.