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Finding the Fourth Proportional to 390,296.25, 538,411.51 and 261,240.21

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Solution

The fourth proportional to 390,296.25, 538,411.51 and 261,240.21 is: 360,379.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,296.25 : 538,411.51 = 261,240.21 : x
  2. Step 2: Convert to fraction form
    390,296.25/538,411.51 = 261,240.21/x
  3. Step 3: Cross multiply
    390,296.25x = 538,411.51 × 261,240.21
  4. Step 4: Simplify right side
    390,296.25x = 140,654,735,938.82
  5. Step 5: Solve for x
    x = 140,654,735,938.82/390,296.25
  6. Step 6: Final answer
    x = 360,379.42

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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.