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Finding the Fourth Proportional to 429,529.88, 644,244.78 and 114,011.30

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Solution

The fourth proportional to 429,529.88, 644,244.78 and 114,011.30 is: 171,003.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,529.88 : 644,244.78 = 114,011.30 : x
  2. Step 2: Convert to fraction form
    429,529.88/644,244.78 = 114,011.30/x
  3. Step 3: Cross multiply
    429,529.88x = 644,244.78 × 114,011.30
  4. Step 4: Simplify right side
    429,529.88x = 73,451,184,886.01
  5. Step 5: Solve for x
    x = 73,451,184,886.01/429,529.88
  6. Step 6: Final answer
    x = 171,003.67

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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.