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Finding the Fourth Proportional to 567,576.24, 783,391.68 and 341,178

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Solution

The fourth proportional to 567,576.24, 783,391.68 and 341,178 is: 470,907.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,576.24 : 783,391.68 = 341,178 : x
  2. Step 2: Convert to fraction form
    567,576.24/783,391.68 = 341,178/x
  3. Step 3: Cross multiply
    567,576.24x = 783,391.68 × 341,178
  4. Step 4: Simplify right side
    567,576.24x = 267,276,006,599.04
  5. Step 5: Solve for x
    x = 267,276,006,599.04/567,576.24
  6. Step 6: Final answer
    x = 470,907.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.