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Finding the Fourth Proportional to 298,222.83, 411,558.89 and 170,923.05

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Solution

The fourth proportional to 298,222.83, 411,558.89 and 170,923.05 is: 235,880.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,222.83 : 411,558.89 = 170,923.05 : x
  2. Step 2: Convert to fraction form
    298,222.83/411,558.89 = 170,923.05/x
  3. Step 3: Cross multiply
    298,222.83x = 411,558.89 × 170,923.05
  4. Step 4: Simplify right side
    298,222.83x = 70,344,900,733.41
  5. Step 5: Solve for x
    x = 70,344,900,733.41/298,222.83
  6. Step 6: Final answer
    x = 235,880.33

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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.