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Finding the Fourth Proportional to 542,840.84, 749,059.89 and 301,062.83

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Solution

The fourth proportional to 542,840.84, 749,059.89 and 301,062.83 is: 415,433.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,840.84 : 749,059.89 = 301,062.83 : x
  2. Step 2: Convert to fraction form
    542,840.84/749,059.89 = 301,062.83/x
  3. Step 3: Cross multiply
    542,840.84x = 749,059.89 × 301,062.83
  4. Step 4: Simplify right side
    542,840.84x = 225,514,085,448.60
  5. Step 5: Solve for x
    x = 225,514,085,448.60/542,840.84
  6. Step 6: Final answer
    x = 415,433.16

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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.