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Finding the Fourth Proportional to 405,496.41, 608,180.70 and 135,622.50

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Solution

The fourth proportional to 405,496.41, 608,180.70 and 135,622.50 is: 203,412.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,496.41 : 608,180.70 = 135,622.50 : x
  2. Step 2: Convert to fraction form
    405,496.41/608,180.70 = 135,622.50/x
  3. Step 3: Cross multiply
    405,496.41x = 608,180.70 × 135,622.50
  4. Step 4: Simplify right side
    405,496.41x = 82,482,986,985.75
  5. Step 5: Solve for x
    x = 82,482,986,985.75/405,496.41
  6. Step 6: Final answer
    x = 203,412.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.