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Finding the Fourth Proportional to 360,462.24, 540,700.80 and 111,144

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Solution

The fourth proportional to 360,462.24, 540,700.80 and 111,144 is: 166,718.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,462.24 : 540,700.80 = 111,144 : x
  2. Step 2: Convert to fraction form
    360,462.24/540,700.80 = 111,144/x
  3. Step 3: Cross multiply
    360,462.24x = 540,700.80 × 111,144
  4. Step 4: Simplify right side
    360,462.24x = 60,095,649,715.20
  5. Step 5: Solve for x
    x = 60,095,649,715.20/360,462.24
  6. Step 6: Final answer
    x = 166,718.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.