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Finding the Fourth Proportional to 419,102.46, 578,472.64 and 258,092.51

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Solution

The fourth proportional to 419,102.46, 578,472.64 and 258,092.51 is: 356,236.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,102.46 : 578,472.64 = 258,092.51 : x
  2. Step 2: Convert to fraction form
    419,102.46/578,472.64 = 258,092.51/x
  3. Step 3: Cross multiply
    419,102.46x = 578,472.64 × 258,092.51
  4. Step 4: Simplify right side
    419,102.46x = 149,299,452,086.33
  5. Step 5: Solve for x
    x = 149,299,452,086.33/419,102.46
  6. Step 6: Final answer
    x = 356,236.16

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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.