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Finding the Fourth Proportional to 320,320.80, 442,042.56 and 193,021.02

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Solution

The fourth proportional to 320,320.80, 442,042.56 and 193,021.02 is: 266,368.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,320.80 : 442,042.56 = 193,021.02 : x
  2. Step 2: Convert to fraction form
    320,320.80/442,042.56 = 193,021.02/x
  3. Step 3: Cross multiply
    320,320.80x = 442,042.56 × 193,021.02
  4. Step 4: Simplify right side
    320,320.80x = 85,323,505,814.61
  5. Step 5: Solve for x
    x = 85,323,505,814.61/320,320.80
  6. Step 6: Final answer
    x = 266,368.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.