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Finding the Fourth Proportional to 446,039.96, 669,129.89 and 146,452.34

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Solution

The fourth proportional to 446,039.96, 669,129.89 and 146,452.34 is: 219,701.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,039.96 : 669,129.89 = 146,452.34 : x
  2. Step 2: Convert to fraction form
    446,039.96/669,129.89 = 146,452.34/x
  3. Step 3: Cross multiply
    446,039.96x = 669,129.89 × 146,452.34
  4. Step 4: Simplify right side
    446,039.96x = 97,995,634,076.53
  5. Step 5: Solve for x
    x = 97,995,634,076.53/446,039.96
  6. Step 6: Final answer
    x = 219,701.47

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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.