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Finding the Fourth Proportional to 295,018.20, 407,020.12 and 174,099

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Solution

The fourth proportional to 295,018.20, 407,020.12 and 174,099 is: 240,194.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,018.20 : 407,020.12 = 174,099 : x
  2. Step 2: Convert to fraction form
    295,018.20/407,020.12 = 174,099/x
  3. Step 3: Cross multiply
    295,018.20x = 407,020.12 × 174,099
  4. Step 4: Simplify right side
    295,018.20x = 70,861,795,871.88
  5. Step 5: Solve for x
    x = 70,861,795,871.88/295,018.20
  6. Step 6: Final answer
    x = 240,194.66

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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.