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Finding the Fourth Proportional to 291,884.58, 402,801.26 and 164,559.87

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Solution

The fourth proportional to 291,884.58, 402,801.26 and 164,559.87 is: 227,092.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,884.58 : 402,801.26 = 164,559.87 : x
  2. Step 2: Convert to fraction form
    291,884.58/402,801.26 = 164,559.87/x
  3. Step 3: Cross multiply
    291,884.58x = 402,801.26 × 164,559.87
  4. Step 4: Simplify right side
    291,884.58x = 66,284,922,158.64
  5. Step 5: Solve for x
    x = 66,284,922,158.64/291,884.58
  6. Step 6: Final answer
    x = 227,092.92

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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.