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Finding the Fourth Proportional to 407,817.75, 611,856.63 and 171,096.87

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Solution

The fourth proportional to 407,817.75, 611,856.63 and 171,096.87 is: 256,699.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,817.75 : 611,856.63 = 171,096.87 : x
  2. Step 2: Convert to fraction form
    407,817.75/611,856.63 = 171,096.87/x
  3. Step 3: Cross multiply
    407,817.75x = 611,856.63 × 171,096.87
  4. Step 4: Simplify right side
    407,817.75x = 104,686,754,281.75
  5. Step 5: Solve for x
    x = 104,686,754,281.75/407,817.75
  6. Step 6: Final answer
    x = 256,699.85

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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.