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Finding the Fourth Proportional to 695,814, 1,043,392.03 and 269,549.47

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Solution

The fourth proportional to 695,814, 1,043,392.03 and 269,549.47 is: 404,196.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,814 : 1,043,392.03 = 269,549.47 : x
  2. Step 2: Convert to fraction form
    695,814/1,043,392.03 = 269,549.47/x
  3. Step 3: Cross multiply
    695,814x = 1,043,392.03 × 269,549.47
  4. Step 4: Simplify right side
    695,814x = 281,245,768,688.72
  5. Step 5: Solve for x
    x = 281,245,768,688.72/695,814
  6. Step 6: Final answer
    x = 404,196.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.