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Finding the Fourth Proportional to 282,917.86, 390,428.24 and 153,857.84

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Solution

The fourth proportional to 282,917.86, 390,428.24 and 153,857.84 is: 212,324.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,917.86 : 390,428.24 = 153,857.84 : x
  2. Step 2: Convert to fraction form
    282,917.86/390,428.24 = 153,857.84/x
  3. Step 3: Cross multiply
    282,917.86x = 390,428.24 × 153,857.84
  4. Step 4: Simplify right side
    282,917.86x = 60,070,442,959.97
  5. Step 5: Solve for x
    x = 60,070,442,959.97/282,917.86
  6. Step 6: Final answer
    x = 212,324.68

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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.