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Finding the Fourth Proportional to 405,409.68, 608,129.24 and 139,168.62

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Solution

The fourth proportional to 405,409.68, 608,129.24 and 139,168.62 is: 208,757.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,409.68 : 608,129.24 = 139,168.62 : x
  2. Step 2: Convert to fraction form
    405,409.68/608,129.24 = 139,168.62/x
  3. Step 3: Cross multiply
    405,409.68x = 608,129.24 × 139,168.62
  4. Step 4: Simplify right side
    405,409.68x = 84,632,506,416.61
  5. Step 5: Solve for x
    x = 84,632,506,416.61/405,409.68
  6. Step 6: Final answer
    x = 208,757.98

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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.