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Finding the Fourth Proportional to 471,214.70, 658,300.90 and 471,214.70

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Solution

The fourth proportional to 471,214.70, 658,300.90 and 471,214.70 is: 658,300.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,214.70 : 658,300.90 = 471,214.70 : x
  2. Step 2: Convert to fraction form
    471,214.70/658,300.90 = 471,214.70/x
  3. Step 3: Cross multiply
    471,214.70x = 658,300.90 × 471,214.70
  4. Step 4: Simplify right side
    471,214.70x = 310,201,061,103.23
  5. Step 5: Solve for x
    x = 310,201,061,103.23/471,214.70
  6. Step 6: Final answer
    x = 658,300.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.