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Finding the Fourth Proportional to 458,834.98, 633,293.55 and 254,956

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Solution

The fourth proportional to 458,834.98, 633,293.55 and 254,956 is: 351,895.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,834.98 : 633,293.55 = 254,956 : x
  2. Step 2: Convert to fraction form
    458,834.98/633,293.55 = 254,956/x
  3. Step 3: Cross multiply
    458,834.98x = 633,293.55 × 254,956
  4. Step 4: Simplify right side
    458,834.98x = 161,461,990,333.80
  5. Step 5: Solve for x
    x = 161,461,990,333.80/458,834.98
  6. Step 6: Final answer
    x = 351,895.56

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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.