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Finding the Fourth Proportional to 355,973.44, 491,223.36 and 194,828.16

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Solution

The fourth proportional to 355,973.44, 491,223.36 and 194,828.16 is: 268,851.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,973.44 : 491,223.36 = 194,828.16 : x
  2. Step 2: Convert to fraction form
    355,973.44/491,223.36 = 194,828.16/x
  3. Step 3: Cross multiply
    355,973.44x = 491,223.36 × 194,828.16
  4. Step 4: Simplify right side
    355,973.44x = 95,704,143,377.82
  5. Step 5: Solve for x
    x = 95,704,143,377.82/355,973.44
  6. Step 6: Final answer
    x = 268,851.92

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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.