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Finding the Fourth Proportional to 460,744.83, 691,175.69 and 180,225.63

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Solution

The fourth proportional to 460,744.83, 691,175.69 and 180,225.63 is: 270,361.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,744.83 : 691,175.69 = 180,225.63 : x
  2. Step 2: Convert to fraction form
    460,744.83/691,175.69 = 180,225.63/x
  3. Step 3: Cross multiply
    460,744.83x = 691,175.69 × 180,225.63
  4. Step 4: Simplify right side
    460,744.83x = 124,567,573,269.81
  5. Step 5: Solve for x
    x = 124,567,573,269.81/460,744.83
  6. Step 6: Final answer
    x = 270,361.30

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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.