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Finding the Fourth Proportional to 298,165.32, 411,460.68 and 170,832.69

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Solution

The fourth proportional to 298,165.32, 411,460.68 and 170,832.69 is: 235,744.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,165.32 : 411,460.68 = 170,832.69 : x
  2. Step 2: Convert to fraction form
    298,165.32/411,460.68 = 170,832.69/x
  3. Step 3: Cross multiply
    298,165.32x = 411,460.68 × 170,832.69
  4. Step 4: Simplify right side
    298,165.32x = 70,290,934,793.63
  5. Step 5: Solve for x
    x = 70,290,934,793.63/298,165.32
  6. Step 6: Final answer
    x = 235,744.84

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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.