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Finding the Fourth Proportional to 416,347.72, 574,561.29 and 225,361.06

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Solution

The fourth proportional to 416,347.72, 574,561.29 and 225,361.06 is: 310,999.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,347.72 : 574,561.29 = 225,361.06 : x
  2. Step 2: Convert to fraction form
    416,347.72/574,561.29 = 225,361.06/x
  3. Step 3: Cross multiply
    416,347.72x = 574,561.29 × 225,361.06
  4. Step 4: Simplify right side
    416,347.72x = 129,483,741,349.37
  5. Step 5: Solve for x
    x = 129,483,741,349.37/416,347.72
  6. Step 6: Final answer
    x = 310,999.04

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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.