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Finding the Fourth Proportional to 407,562.30, 611,146.81 and 170,841.42

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Solution

The fourth proportional to 407,562.30, 611,146.81 and 170,841.42 is: 256,179.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,562.30 : 611,146.81 = 170,841.42 : x
  2. Step 2: Convert to fraction form
    407,562.30/611,146.81 = 170,841.42/x
  3. Step 3: Cross multiply
    407,562.30x = 611,146.81 × 170,841.42
  4. Step 4: Simplify right side
    407,562.30x = 104,409,188,848.87
  5. Step 5: Solve for x
    x = 104,409,188,848.87/407,562.30
  6. Step 6: Final answer
    x = 256,179.70

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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.