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Finding the Fourth Proportional to 381,430.08, 571,523.04 and 194,184

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Solution

The fourth proportional to 381,430.08, 571,523.04 and 194,184 is: 290,959.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,430.08 : 571,523.04 = 194,184 : x
  2. Step 2: Convert to fraction form
    381,430.08/571,523.04 = 194,184/x
  3. Step 3: Cross multiply
    381,430.08x = 571,523.04 × 194,184
  4. Step 4: Simplify right side
    381,430.08x = 110,980,629,999.36
  5. Step 5: Solve for x
    x = 110,980,629,999.36/381,430.08
  6. Step 6: Final answer
    x = 290,959.30

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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.