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Finding the Fourth Proportional to 411,270.64, 566,291.74 and 359,996.44

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Solution

The fourth proportional to 411,270.64, 566,291.74 and 359,996.44 is: 495,690.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,270.64 : 566,291.74 = 359,996.44 : x
  2. Step 2: Convert to fraction form
    411,270.64/566,291.74 = 359,996.44/x
  3. Step 3: Cross multiply
    411,270.64x = 566,291.74 × 359,996.44
  4. Step 4: Simplify right side
    411,270.64x = 203,863,010,401.41
  5. Step 5: Solve for x
    x = 203,863,010,401.41/411,270.64
  6. Step 6: Final answer
    x = 495,690.65

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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.