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Finding the Fourth Proportional to 542,754.54, 749,090.92 and 301,114.96

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Solution

The fourth proportional to 542,754.54, 749,090.92 and 301,114.96 is: 415,588.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,754.54 : 749,090.92 = 301,114.96 : x
  2. Step 2: Convert to fraction form
    542,754.54/749,090.92 = 301,114.96/x
  3. Step 3: Cross multiply
    542,754.54x = 749,090.92 × 301,114.96
  4. Step 4: Simplify right side
    542,754.54x = 225,562,478,666.71
  5. Step 5: Solve for x
    x = 225,562,478,666.71/542,754.54
  6. Step 6: Final answer
    x = 415,588.38

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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.