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Finding the Fourth Proportional to 347,817.30, 488,343.90 and 347,817.30

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Solution

The fourth proportional to 347,817.30, 488,343.90 and 347,817.30 is: 488,343.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,817.30 : 488,343.90 = 347,817.30 : x
  2. Step 2: Convert to fraction form
    347,817.30/488,343.90 = 347,817.30/x
  3. Step 3: Cross multiply
    347,817.30x = 488,343.90 × 347,817.30
  4. Step 4: Simplify right side
    347,817.30x = 169,854,456,769.47
  5. Step 5: Solve for x
    x = 169,854,456,769.47/347,817.30
  6. Step 6: Final answer
    x = 488,343.90

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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.