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Finding the Fourth Proportional to 403,791, 557,243.10 and 224,954.52

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Solution

The fourth proportional to 403,791, 557,243.10 and 224,954.52 is: 310,443.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,791 : 557,243.10 = 224,954.52 : x
  2. Step 2: Convert to fraction form
    403,791/557,243.10 = 224,954.52/x
  3. Step 3: Cross multiply
    403,791x = 557,243.10 × 224,954.52
  4. Step 4: Simplify right side
    403,791x = 125,354,354,083.81
  5. Step 5: Solve for x
    x = 125,354,354,083.81/403,791
  6. Step 6: Final answer
    x = 310,443.66

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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.