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Finding the Fourth Proportional to 296,856.30, 445,284.45 and 178,466.70

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Solution

The fourth proportional to 296,856.30, 445,284.45 and 178,466.70 is: 267,700.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,856.30 : 445,284.45 = 178,466.70 : x
  2. Step 2: Convert to fraction form
    296,856.30/445,284.45 = 178,466.70/x
  3. Step 3: Cross multiply
    296,856.30x = 445,284.45 × 178,466.70
  4. Step 4: Simplify right side
    296,856.30x = 79,468,446,352.82
  5. Step 5: Solve for x
    x = 79,468,446,352.82/296,856.30
  6. Step 6: Final answer
    x = 267,700.05

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Why These Related Problems?

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