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Finding the Fourth Proportional to 405,768.69, 608,708.32 and 169,056.01

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Solution

The fourth proportional to 405,768.69, 608,708.32 and 169,056.01 is: 253,607.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,768.69 : 608,708.32 = 169,056.01 : x
  2. Step 2: Convert to fraction form
    405,768.69/608,708.32 = 169,056.01/x
  3. Step 3: Cross multiply
    405,768.69x = 608,708.32 × 169,056.01
  4. Step 4: Simplify right side
    405,768.69x = 102,905,800,171.25
  5. Step 5: Solve for x
    x = 102,905,800,171.25/405,768.69
  6. Step 6: Final answer
    x = 253,607.05

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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.