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Finding the Fourth Proportional to 308,416.94, 462,631.75 and 95,184.98

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Solution

The fourth proportional to 308,416.94, 462,631.75 and 95,184.98 is: 142,779.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,416.94 : 462,631.75 = 95,184.98 : x
  2. Step 2: Convert to fraction form
    308,416.94/462,631.75 = 95,184.98/x
  3. Step 3: Cross multiply
    308,416.94x = 462,631.75 × 95,184.98
  4. Step 4: Simplify right side
    308,416.94x = 44,035,594,787.54
  5. Step 5: Solve for x
    x = 44,035,594,787.54/308,416.94
  6. Step 6: Final answer
    x = 142,779.43

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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.