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Finding the Fourth Proportional to 260,537.94, 359,428.05 and 200,001.78

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Solution

The fourth proportional to 260,537.94, 359,428.05 and 200,001.78 is: 275,914.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,537.94 : 359,428.05 = 200,001.78 : x
  2. Step 2: Convert to fraction form
    260,537.94/359,428.05 = 200,001.78/x
  3. Step 3: Cross multiply
    260,537.94x = 359,428.05 × 200,001.78
  4. Step 4: Simplify right side
    260,537.94x = 71,886,249,781.93
  5. Step 5: Solve for x
    x = 71,886,249,781.93/260,537.94
  6. Step 6: Final answer
    x = 275,914.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.