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Finding the Fourth Proportional to 456,900.96, 630,524.16 and 252,966

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Solution

The fourth proportional to 456,900.96, 630,524.16 and 252,966 is: 349,093.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,900.96 : 630,524.16 = 252,966 : x
  2. Step 2: Convert to fraction form
    456,900.96/630,524.16 = 252,966/x
  3. Step 3: Cross multiply
    456,900.96x = 630,524.16 × 252,966
  4. Step 4: Simplify right side
    456,900.96x = 159,501,174,658.56
  5. Step 5: Solve for x
    x = 159,501,174,658.56/456,900.96
  6. Step 6: Final answer
    x = 349,093.54

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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.