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Finding the Fourth Proportional to 402,384.42, 603,860.22 and 189,162

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Solution

The fourth proportional to 402,384.42, 603,860.22 and 189,162 is: 283,876.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,384.42 : 603,860.22 = 189,162 : x
  2. Step 2: Convert to fraction form
    402,384.42/603,860.22 = 189,162/x
  3. Step 3: Cross multiply
    402,384.42x = 603,860.22 × 189,162
  4. Step 4: Simplify right side
    402,384.42x = 114,227,406,935.64
  5. Step 5: Solve for x
    x = 114,227,406,935.64/402,384.42
  6. Step 6: Final answer
    x = 283,876.32

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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.