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Finding the Fourth Proportional to 463,127.85, 694,328.90 and 182,854.89

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Solution

The fourth proportional to 463,127.85, 694,328.90 and 182,854.89 is: 274,139.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,127.85 : 694,328.90 = 182,854.89 : x
  2. Step 2: Convert to fraction form
    463,127.85/694,328.90 = 182,854.89/x
  3. Step 3: Cross multiply
    463,127.85x = 694,328.90 × 182,854.89
  4. Step 4: Simplify right side
    463,127.85x = 126,961,433,719.05
  5. Step 5: Solve for x
    x = 126,961,433,719.05/463,127.85
  6. Step 6: Final answer
    x = 274,139.06

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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.