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Finding the Fourth Proportional to 502,107.17, 692,603.61 and 298,023.62

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Solution

The fourth proportional to 502,107.17, 692,603.61 and 298,023.62 is: 411,091.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,107.17 : 692,603.61 = 298,023.62 : x
  2. Step 2: Convert to fraction form
    502,107.17/692,603.61 = 298,023.62/x
  3. Step 3: Cross multiply
    502,107.17x = 692,603.61 × 298,023.62
  4. Step 4: Simplify right side
    502,107.17x = 206,412,235,077.27
  5. Step 5: Solve for x
    x = 206,412,235,077.27/502,107.17
  6. Step 6: Final answer
    x = 411,091.99

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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.