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Finding the Fourth Proportional to 308,702.96, 463,054.43 and 203,497.32

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Solution

The fourth proportional to 308,702.96, 463,054.43 and 203,497.32 is: 305,245.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,702.96 : 463,054.43 = 203,497.32 : x
  2. Step 2: Convert to fraction form
    308,702.96/463,054.43 = 203,497.32/x
  3. Step 3: Cross multiply
    308,702.96x = 463,054.43 × 203,497.32
  4. Step 4: Simplify right side
    308,702.96x = 94,230,336,027.87
  5. Step 5: Solve for x
    x = 94,230,336,027.87/308,702.96
  6. Step 6: Final answer
    x = 305,245.98

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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.