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Finding the Fourth Proportional to 353,107.76, 529,586.91 and 116,394.17

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Solution

The fourth proportional to 353,107.76, 529,586.91 and 116,394.17 is: 174,566.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,107.76 : 529,586.91 = 116,394.17 : x
  2. Step 2: Convert to fraction form
    353,107.76/529,586.91 = 116,394.17/x
  3. Step 3: Cross multiply
    353,107.76x = 529,586.91 × 116,394.17
  4. Step 4: Simplify right side
    353,107.76x = 61,640,826,184.38
  5. Step 5: Solve for x
    x = 61,640,826,184.38/353,107.76
  6. Step 6: Final answer
    x = 174,566.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.