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Finding the Fourth Proportional to 311,858.61, 430,266.64 and 190,873.77

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Solution

The fourth proportional to 311,858.61, 430,266.64 and 190,873.77 is: 263,345.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,858.61 : 430,266.64 = 190,873.77 : x
  2. Step 2: Convert to fraction form
    311,858.61/430,266.64 = 190,873.77/x
  3. Step 3: Cross multiply
    311,858.61x = 430,266.64 × 190,873.77
  4. Step 4: Simplify right side
    311,858.61x = 82,126,615,682.03
  5. Step 5: Solve for x
    x = 82,126,615,682.03/311,858.61
  6. Step 6: Final answer
    x = 263,345.67

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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.