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Finding the Fourth Proportional to 413,070.20, 620,066.10 and 385,998.20

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Solution

The fourth proportional to 413,070.20, 620,066.10 and 385,998.20 is: 579,427.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,070.20 : 620,066.10 = 385,998.20 : x
  2. Step 2: Convert to fraction form
    413,070.20/620,066.10 = 385,998.20/x
  3. Step 3: Cross multiply
    413,070.20x = 620,066.10 × 385,998.20
  4. Step 4: Simplify right side
    413,070.20x = 239,344,398,481.02
  5. Step 5: Solve for x
    x = 239,344,398,481.02/413,070.20
  6. Step 6: Final answer
    x = 579,427.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.