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Finding the Fourth Proportional to 315,861.98, 473,842.20 and 189,472.52

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Solution

The fourth proportional to 315,861.98, 473,842.20 and 189,472.52 is: 284,238.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,861.98 : 473,842.20 = 189,472.52 : x
  2. Step 2: Convert to fraction form
    315,861.98/473,842.20 = 189,472.52/x
  3. Step 3: Cross multiply
    315,861.98x = 473,842.20 × 189,472.52
  4. Step 4: Simplify right side
    315,861.98x = 89,780,074,946.11
  5. Step 5: Solve for x
    x = 89,780,074,946.11/315,861.98
  6. Step 6: Final answer
    x = 284,238.31

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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.