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Finding the Fourth Proportional to 446,238, 669,215.04 and 146,649.24

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Solution

The fourth proportional to 446,238, 669,215.04 and 146,649.24 is: 219,927.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,238 : 669,215.04 = 146,649.24 : x
  2. Step 2: Convert to fraction form
    446,238/669,215.04 = 146,649.24/x
  3. Step 3: Cross multiply
    446,238x = 669,215.04 × 146,649.24
  4. Step 4: Simplify right side
    446,238x = 98,139,877,012.57
  5. Step 5: Solve for x
    x = 98,139,877,012.57/446,238
  6. Step 6: Final answer
    x = 219,927.21

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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.