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Finding the Fourth Proportional to 314,497.72, 471,352.78 and 247,673.94

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Solution

The fourth proportional to 314,497.72, 471,352.78 and 247,673.94 is: 371,200.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,497.72 : 471,352.78 = 247,673.94 : x
  2. Step 2: Convert to fraction form
    314,497.72/471,352.78 = 247,673.94/x
  3. Step 3: Cross multiply
    314,497.72x = 471,352.78 × 247,673.94
  4. Step 4: Simplify right side
    314,497.72x = 116,741,800,152.55
  5. Step 5: Solve for x
    x = 116,741,800,152.55/314,497.72
  6. Step 6: Final answer
    x = 371,200.78

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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.