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Finding the Fourth Proportional to 542,770.16, 748,992.26 and 301,035.38

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Solution

The fourth proportional to 542,770.16, 748,992.26 and 301,035.38 is: 415,411.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,770.16 : 748,992.26 = 301,035.38 : x
  2. Step 2: Convert to fraction form
    542,770.16/748,992.26 = 301,035.38/x
  3. Step 3: Cross multiply
    542,770.16x = 748,992.26 × 301,035.38
  4. Step 4: Simplify right side
    542,770.16x = 225,473,169,606.16
  5. Step 5: Solve for x
    x = 225,473,169,606.16/542,770.16
  6. Step 6: Final answer
    x = 415,411.87

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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.