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Finding the Fourth Proportional to 411,269.64, 566,290.36 and 359,995.44

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Solution

The fourth proportional to 411,269.64, 566,290.36 and 359,995.44 is: 495,689.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,269.64 : 566,290.36 = 359,995.44 : x
  2. Step 2: Convert to fraction form
    411,269.64/566,290.36 = 359,995.44/x
  3. Step 3: Cross multiply
    411,269.64x = 566,290.36 × 359,995.44
  4. Step 4: Simplify right side
    411,269.64x = 203,861,947,315.96
  5. Step 5: Solve for x
    x = 203,861,947,315.96/411,269.64
  6. Step 6: Final answer
    x = 495,689.27

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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.