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Finding the Fourth Proportional to 405,786.96, 608,561.52 and 152,884.98

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Solution

The fourth proportional to 405,786.96, 608,561.52 and 152,884.98 is: 229,282.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,786.96 : 608,561.52 = 152,884.98 : x
  2. Step 2: Convert to fraction form
    405,786.96/608,561.52 = 152,884.98/x
  3. Step 3: Cross multiply
    405,786.96x = 608,561.52 × 152,884.98
  4. Step 4: Simplify right side
    405,786.96x = 93,039,915,813.97
  5. Step 5: Solve for x
    x = 93,039,915,813.97/405,786.96
  6. Step 6: Final answer
    x = 229,282.67

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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.