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Finding the Fourth Proportional to 458,037, 632,091.06 and 256,833

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Solution

The fourth proportional to 458,037, 632,091.06 and 256,833 is: 354,429.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,037 : 632,091.06 = 256,833 : x
  2. Step 2: Convert to fraction form
    458,037/632,091.06 = 256,833/x
  3. Step 3: Cross multiply
    458,037x = 632,091.06 × 256,833
  4. Step 4: Simplify right side
    458,037x = 162,341,843,212.98
  5. Step 5: Solve for x
    x = 162,341,843,212.98/458,037
  6. Step 6: Final answer
    x = 354,429.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.