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Finding the Fourth Proportional to 378,005.60, 567,008.40 and 308,021.60

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Solution

The fourth proportional to 378,005.60, 567,008.40 and 308,021.60 is: 462,032.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,005.60 : 567,008.40 = 308,021.60 : x
  2. Step 2: Convert to fraction form
    378,005.60/567,008.40 = 308,021.60/x
  3. Step 3: Cross multiply
    378,005.60x = 567,008.40 × 308,021.60
  4. Step 4: Simplify right side
    378,005.60x = 174,650,834,581.44
  5. Step 5: Solve for x
    x = 174,650,834,581.44/378,005.60
  6. Step 6: Final answer
    x = 462,032.40

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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.