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Finding the Fourth Proportional to 384,266.70, 576,400.05 and 197,642.70

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Solution

The fourth proportional to 384,266.70, 576,400.05 and 197,642.70 is: 296,464.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,266.70 : 576,400.05 = 197,642.70 : x
  2. Step 2: Convert to fraction form
    384,266.70/576,400.05 = 197,642.70/x
  3. Step 3: Cross multiply
    384,266.70x = 576,400.05 × 197,642.70
  4. Step 4: Simplify right side
    384,266.70x = 113,921,262,162.14
  5. Step 5: Solve for x
    x = 113,921,262,162.14/384,266.70
  6. Step 6: Final answer
    x = 296,464.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.