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Finding the Fourth Proportional to 314,658.36, 471,593.34 and 247,834.50

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Solution

The fourth proportional to 314,658.36, 471,593.34 and 247,834.50 is: 371,441.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,658.36 : 471,593.34 = 247,834.50 : x
  2. Step 2: Convert to fraction form
    314,658.36/471,593.34 = 247,834.50/x
  3. Step 3: Cross multiply
    314,658.36x = 471,593.34 × 247,834.50
  4. Step 4: Simplify right side
    314,658.36x = 116,877,099,622.23
  5. Step 5: Solve for x
    x = 116,877,099,622.23/314,658.36
  6. Step 6: Final answer
    x = 371,441.27

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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.