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Finding the Fourth Proportional to 456,133.94, 629,564.74 and 265,257.44

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Solution

The fourth proportional to 456,133.94, 629,564.74 and 265,257.44 is: 366,113.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,133.94 : 629,564.74 = 265,257.44 : x
  2. Step 2: Convert to fraction form
    456,133.94/629,564.74 = 265,257.44/x
  3. Step 3: Cross multiply
    456,133.94x = 629,564.74 × 265,257.44
  4. Step 4: Simplify right side
    456,133.94x = 166,996,731,246.67
  5. Step 5: Solve for x
    x = 166,996,731,246.67/456,133.94
  6. Step 6: Final answer
    x = 366,113.36

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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.