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Finding the Fourth Proportional to 456,089.13, 629,457.75 and 265,102.56

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Solution

The fourth proportional to 456,089.13, 629,457.75 and 265,102.56 is: 365,873.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,089.13 : 629,457.75 = 265,102.56 : x
  2. Step 2: Convert to fraction form
    456,089.13/629,457.75 = 265,102.56/x
  3. Step 3: Cross multiply
    456,089.13x = 629,457.75 × 265,102.56
  4. Step 4: Simplify right side
    456,089.13x = 166,870,860,936.84
  5. Step 5: Solve for x
    x = 166,870,860,936.84/456,089.13
  6. Step 6: Final answer
    x = 365,873.36

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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.