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Finding the Fourth Proportional to 542,974.22, 749,345.54 and 301,302.52

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Solution

The fourth proportional to 542,974.22, 749,345.54 and 301,302.52 is: 415,820.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,974.22 : 749,345.54 = 301,302.52 : x
  2. Step 2: Convert to fraction form
    542,974.22/749,345.54 = 301,302.52/x
  3. Step 3: Cross multiply
    542,974.22x = 749,345.54 × 301,302.52
  4. Step 4: Simplify right side
    542,974.22x = 225,779,699,552.76
  5. Step 5: Solve for x
    x = 225,779,699,552.76/542,974.22
  6. Step 6: Final answer
    x = 415,820.29

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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.