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Finding the Fourth Proportional to 380,324.19, 570,773.16 and 260,093.82

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Solution

The fourth proportional to 380,324.19, 570,773.16 and 260,093.82 is: 390,336.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,324.19 : 570,773.16 = 260,093.82 : x
  2. Step 2: Convert to fraction form
    380,324.19/570,773.16 = 260,093.82/x
  3. Step 3: Cross multiply
    380,324.19x = 570,773.16 × 260,093.82
  4. Step 4: Simplify right side
    380,324.19x = 148,454,571,537.87
  5. Step 5: Solve for x
    x = 148,454,571,537.87/380,324.19
  6. Step 6: Final answer
    x = 390,336.92

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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.