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Finding the Fourth Proportional to 587,046.78, 810,127.74 and 332,447.58

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Solution

The fourth proportional to 587,046.78, 810,127.74 and 332,447.58 is: 458,779.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,046.78 : 810,127.74 = 332,447.58 : x
  2. Step 2: Convert to fraction form
    587,046.78/810,127.74 = 332,447.58/x
  3. Step 3: Cross multiply
    587,046.78x = 810,127.74 × 332,447.58
  4. Step 4: Simplify right side
    587,046.78x = 269,325,006,653.87
  5. Step 5: Solve for x
    x = 269,325,006,653.87/587,046.78
  6. Step 6: Final answer
    x = 458,779.46

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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.