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Finding the Fourth Proportional to 495,711.98, 684,081.20 and 269,357.48

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Solution

The fourth proportional to 495,711.98, 684,081.20 and 269,357.48 is: 371,712.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,711.98 : 684,081.20 = 269,357.48 : x
  2. Step 2: Convert to fraction form
    495,711.98/684,081.20 = 269,357.48/x
  3. Step 3: Cross multiply
    495,711.98x = 684,081.20 × 269,357.48
  4. Step 4: Simplify right side
    495,711.98x = 184,262,388,147.38
  5. Step 5: Solve for x
    x = 184,262,388,147.38/495,711.98
  6. Step 6: Final answer
    x = 371,712.60

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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.