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Finding the Fourth Proportional to 297,782.87, 410,956.11 and 168,746.36

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Solution

The fourth proportional to 297,782.87, 410,956.11 and 168,746.36 is: 232,878.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,782.87 : 410,956.11 = 168,746.36 : x
  2. Step 2: Convert to fraction form
    297,782.87/410,956.11 = 168,746.36/x
  3. Step 3: Cross multiply
    297,782.87x = 410,956.11 × 168,746.36
  4. Step 4: Simplify right side
    297,782.87x = 69,347,345,627.48
  5. Step 5: Solve for x
    x = 69,347,345,627.48/297,782.87
  6. Step 6: Final answer
    x = 232,878.90

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Why These Related Problems?

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