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Finding the Fourth Proportional to 361,918.16, 542,691.75 and 191,231.54

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Solution

The fourth proportional to 361,918.16, 542,691.75 and 191,231.54 is: 286,749.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,918.16 : 542,691.75 = 191,231.54 : x
  2. Step 2: Convert to fraction form
    361,918.16/542,691.75 = 191,231.54/x
  3. Step 3: Cross multiply
    361,918.16x = 542,691.75 × 191,231.54
  4. Step 4: Simplify right side
    361,918.16x = 103,779,779,097.80
  5. Step 5: Solve for x
    x = 103,779,779,097.80/361,918.16
  6. Step 6: Final answer
    x = 286,749.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.