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Finding the Fourth Proportional to 358,307.68, 494,453.82 and 197,163.04

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Solution

The fourth proportional to 358,307.68, 494,453.82 and 197,163.04 is: 272,079.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,307.68 : 494,453.82 = 197,163.04 : x
  2. Step 2: Convert to fraction form
    358,307.68/494,453.82 = 197,163.04/x
  3. Step 3: Cross multiply
    358,307.68x = 494,453.82 × 197,163.04
  4. Step 4: Simplify right side
    358,307.68x = 97,488,018,290.81
  5. Step 5: Solve for x
    x = 97,488,018,290.81/358,307.68
  6. Step 6: Final answer
    x = 272,079.06

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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.