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Finding the Fourth Proportional to 319,779.82, 441,289.14 and 174,580.64

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Solution

The fourth proportional to 319,779.82, 441,289.14 and 174,580.64 is: 240,917.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,779.82 : 441,289.14 = 174,580.64 : x
  2. Step 2: Convert to fraction form
    319,779.82/441,289.14 = 174,580.64/x
  3. Step 3: Cross multiply
    319,779.82x = 441,289.14 × 174,580.64
  4. Step 4: Simplify right side
    319,779.82x = 77,040,540,486.25
  5. Step 5: Solve for x
    x = 77,040,540,486.25/319,779.82
  6. Step 6: Final answer
    x = 240,917.46

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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.