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Finding the Fourth Proportional to 348,766.85, 523,017.48 and 206,652.23

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Solution

The fourth proportional to 348,766.85, 523,017.48 and 206,652.23 is: 309,899.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,766.85 : 523,017.48 = 206,652.23 : x
  2. Step 2: Convert to fraction form
    348,766.85/523,017.48 = 206,652.23/x
  3. Step 3: Cross multiply
    348,766.85x = 523,017.48 × 206,652.23
  4. Step 4: Simplify right side
    348,766.85x = 108,082,725,955.89
  5. Step 5: Solve for x
    x = 108,082,725,955.89/348,766.85
  6. Step 6: Final answer
    x = 309,899.66

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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.