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Finding the Fourth Proportional to 475,096.94, 712,678.67 and 190,787.48

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Solution

The fourth proportional to 475,096.94, 712,678.67 and 190,787.48 is: 286,194.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,096.94 : 712,678.67 = 190,787.48 : x
  2. Step 2: Convert to fraction form
    475,096.94/712,678.67 = 190,787.48/x
  3. Step 3: Cross multiply
    475,096.94x = 712,678.67 × 190,787.48
  4. Step 4: Simplify right side
    475,096.94x = 135,970,167,499.05
  5. Step 5: Solve for x
    x = 135,970,167,499.05/475,096.94
  6. Step 6: Final answer
    x = 286,194.58

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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.