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Finding the Fourth Proportional to 310,497.62, 465,465.83 and 110,770.52

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Solution

The fourth proportional to 310,497.62, 465,465.83 and 110,770.52 is: 166,055.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,497.62 : 465,465.83 = 110,770.52 : x
  2. Step 2: Convert to fraction form
    310,497.62/465,465.83 = 110,770.52/x
  3. Step 3: Cross multiply
    310,497.62x = 465,465.83 × 110,770.52
  4. Step 4: Simplify right side
    310,497.62x = 51,559,889,150.15
  5. Step 5: Solve for x
    x = 51,559,889,150.15/310,497.62
  6. Step 6: Final answer
    x = 166,055.67

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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.