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Finding the Fourth Proportional to 285,423.98, 393,898.06 and 158,099.56

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Solution

The fourth proportional to 285,423.98, 393,898.06 and 158,099.56 is: 218,184.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,423.98 : 393,898.06 = 158,099.56 : x
  2. Step 2: Convert to fraction form
    285,423.98/393,898.06 = 158,099.56/x
  3. Step 3: Cross multiply
    285,423.98x = 393,898.06 × 158,099.56
  4. Step 4: Simplify right side
    285,423.98x = 62,275,109,970.85
  5. Step 5: Solve for x
    x = 62,275,109,970.85/285,423.98
  6. Step 6: Final answer
    x = 218,184.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.