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Finding the Fourth Proportional to 384,381.30, 576,571.95 and 378,476.40

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Solution

The fourth proportional to 384,381.30, 576,571.95 and 378,476.40 is: 567,714.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,381.30 : 576,571.95 = 378,476.40 : x
  2. Step 2: Convert to fraction form
    384,381.30/576,571.95 = 378,476.40/x
  3. Step 3: Cross multiply
    384,381.30x = 576,571.95 × 378,476.40
  4. Step 4: Simplify right side
    384,381.30x = 218,218,875,976.98
  5. Step 5: Solve for x
    x = 218,218,875,976.98/384,381.30
  6. Step 6: Final answer
    x = 567,714.60

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