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Finding the Fourth Proportional to 542,679.37, 814,506.94 and 290,175.69

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Solution

The fourth proportional to 542,679.37, 814,506.94 and 290,175.69 is: 435,524.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,679.37 : 814,506.94 = 290,175.69 : x
  2. Step 2: Convert to fraction form
    542,679.37/814,506.94 = 290,175.69/x
  3. Step 3: Cross multiply
    542,679.37x = 814,506.94 × 290,175.69
  4. Step 4: Simplify right side
    542,679.37x = 236,350,112,159.81
  5. Step 5: Solve for x
    x = 236,350,112,159.81/542,679.37
  6. Step 6: Final answer
    x = 435,524.41

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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.