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Finding the Fourth Proportional to 298,224.58, 411,561.24 and 170,924.74

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Solution

The fourth proportional to 298,224.58, 411,561.24 and 170,924.74 is: 235,882.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,224.58 : 411,561.24 = 170,924.74 : x
  2. Step 2: Convert to fraction form
    298,224.58/411,561.24 = 170,924.74/x
  3. Step 3: Cross multiply
    298,224.58x = 411,561.24 × 170,924.74
  4. Step 4: Simplify right side
    298,224.58x = 70,345,997,941.08
  5. Step 5: Solve for x
    x = 70,345,997,941.08/298,224.58
  6. Step 6: Final answer
    x = 235,882.63

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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.