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Finding the Fourth Proportional to 458,873.76, 688,324.22 and 219,012.94

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Solution

The fourth proportional to 458,873.76, 688,324.22 and 219,012.94 is: 328,525.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,873.76 : 688,324.22 = 219,012.94 : x
  2. Step 2: Convert to fraction form
    458,873.76/688,324.22 = 219,012.94/x
  3. Step 3: Cross multiply
    458,873.76x = 688,324.22 × 219,012.94
  4. Step 4: Simplify right side
    458,873.76x = 150,751,911,682.05
  5. Step 5: Solve for x
    x = 150,751,911,682.05/458,873.76
  6. Step 6: Final answer
    x = 328,525.89

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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.