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Finding the Fourth Proportional to 416,954.70, 575,679.94 and 264,128.51

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Solution

The fourth proportional to 416,954.70, 575,679.94 and 264,128.51 is: 364,676.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,954.70 : 575,679.94 = 264,128.51 : x
  2. Step 2: Convert to fraction form
    416,954.70/575,679.94 = 264,128.51/x
  3. Step 3: Cross multiply
    416,954.70x = 575,679.94 × 264,128.51
  4. Step 4: Simplify right side
    416,954.70x = 152,053,484,789.09
  5. Step 5: Solve for x
    x = 152,053,484,789.09/416,954.70
  6. Step 6: Final answer
    x = 364,676.27

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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.