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Finding the Fourth Proportional to 384,376.98, 576,237.42 and 271,702.74

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Solution

The fourth proportional to 384,376.98, 576,237.42 and 271,702.74 is: 407,322.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,376.98 : 576,237.42 = 271,702.74 : x
  2. Step 2: Convert to fraction form
    384,376.98/576,237.42 = 271,702.74/x
  3. Step 3: Cross multiply
    384,376.98x = 576,237.42 × 271,702.74
  4. Step 4: Simplify right side
    384,376.98x = 156,565,285,904.53
  5. Step 5: Solve for x
    x = 156,565,285,904.53/384,376.98
  6. Step 6: Final answer
    x = 407,322.22

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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.