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Finding the Fourth Proportional to 466,429.46, 699,666.06 and 150,911.06

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Solution

The fourth proportional to 466,429.46, 699,666.06 and 150,911.06 is: 226,373.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,429.46 : 699,666.06 = 150,911.06 : x
  2. Step 2: Convert to fraction form
    466,429.46/699,666.06 = 150,911.06/x
  3. Step 3: Cross multiply
    466,429.46x = 699,666.06 × 150,911.06
  4. Step 4: Simplify right side
    466,429.46x = 105,587,346,760.62
  5. Step 5: Solve for x
    x = 105,587,346,760.62/466,429.46
  6. Step 6: Final answer
    x = 226,373.67

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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.