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Finding the Fourth Proportional to 298,024.56, 411,276.84 and 170,697.48

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Solution

The fourth proportional to 298,024.56, 411,276.84 and 170,697.48 is: 235,564.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,024.56 : 411,276.84 = 170,697.48 : x
  2. Step 2: Convert to fraction form
    298,024.56/411,276.84 = 170,697.48/x
  3. Step 3: Cross multiply
    298,024.56x = 411,276.84 × 170,697.48
  4. Step 4: Simplify right side
    298,024.56x = 70,203,920,170.36
  5. Step 5: Solve for x
    x = 70,203,920,170.36/298,024.56
  6. Step 6: Final answer
    x = 235,564.21

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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.