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Finding the Fourth Proportional to 291,907.17, 402,822.77 and 164,580.93

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Solution

The fourth proportional to 291,907.17, 402,822.77 and 164,580.93 is: 227,116.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,907.17 : 402,822.77 = 164,580.93 : x
  2. Step 2: Convert to fraction form
    291,907.17/402,822.77 = 164,580.93/x
  3. Step 3: Cross multiply
    291,907.17x = 402,822.77 × 164,580.93
  4. Step 4: Simplify right side
    291,907.17x = 66,296,945,288.87
  5. Step 5: Solve for x
    x = 66,296,945,288.87/291,907.17
  6. Step 6: Final answer
    x = 227,116.54

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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.