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Finding the Fourth Proportional to 430,777, 594,462.44 and 269,720.88

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Solution

The fourth proportional to 430,777, 594,462.44 and 269,720.88 is: 372,208.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,777 : 594,462.44 = 269,720.88 : x
  2. Step 2: Convert to fraction form
    430,777/594,462.44 = 269,720.88/x
  3. Step 3: Cross multiply
    430,777x = 594,462.44 × 269,720.88
  4. Step 4: Simplify right side
    430,777x = 160,338,932,443.75
  5. Step 5: Solve for x
    x = 160,338,932,443.75/430,777
  6. Step 6: Final answer
    x = 372,208.67

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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.