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Finding the Fourth Proportional to 727,090.54, 1,003,125.24 and 420,999.82

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Solution

The fourth proportional to 727,090.54, 1,003,125.24 and 420,999.82 is: 580,829.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,090.54 : 1,003,125.24 = 420,999.82 : x
  2. Step 2: Convert to fraction form
    727,090.54/1,003,125.24 = 420,999.82/x
  3. Step 3: Cross multiply
    727,090.54x = 1,003,125.24 × 420,999.82
  4. Step 4: Simplify right side
    727,090.54x = 422,315,545,477.46
  5. Step 5: Solve for x
    x = 422,315,545,477.46/727,090.54
  6. Step 6: Final answer
    x = 580,829.38

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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.