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Finding the Fourth Proportional to 534,906.60, 802,100.70 and 297,997.80

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Solution

The fourth proportional to 534,906.60, 802,100.70 and 297,997.80 is: 446,852.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,906.60 : 802,100.70 = 297,997.80 : x
  2. Step 2: Convert to fraction form
    534,906.60/802,100.70 = 297,997.80/x
  3. Step 3: Cross multiply
    534,906.60x = 802,100.70 × 297,997.80
  4. Step 4: Simplify right side
    534,906.60x = 239,024,243,978.46
  5. Step 5: Solve for x
    x = 239,024,243,978.46/534,906.60
  6. Step 6: Final answer
    x = 446,852.30

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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.