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Finding the Fourth Proportional to 460,999.89, 691,105.41 and 176,894.32

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Solution

The fourth proportional to 460,999.89, 691,105.41 and 176,894.32 is: 265,190.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,999.89 : 691,105.41 = 176,894.32 : x
  2. Step 2: Convert to fraction form
    460,999.89/691,105.41 = 176,894.32/x
  3. Step 3: Cross multiply
    460,999.89x = 691,105.41 × 176,894.32
  4. Step 4: Simplify right side
    460,999.89x = 122,252,621,550.27
  5. Step 5: Solve for x
    x = 122,252,621,550.27/460,999.89
  6. Step 6: Final answer
    x = 265,190.13

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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.