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Finding the Fourth Proportional to 273,466.85, 409,484.23 and 219,874.01

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Solution

The fourth proportional to 273,466.85, 409,484.23 and 219,874.01 is: 329,235.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,466.85 : 409,484.23 = 219,874.01 : x
  2. Step 2: Convert to fraction form
    273,466.85/409,484.23 = 219,874.01/x
  3. Step 3: Cross multiply
    273,466.85x = 409,484.23 × 219,874.01
  4. Step 4: Simplify right side
    273,466.85x = 90,034,939,681.86
  5. Step 5: Solve for x
    x = 90,034,939,681.86/273,466.85
  6. Step 6: Final answer
    x = 329,235.30

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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.