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Finding the Fourth Proportional to 405,581.22, 608,457.50 and 152,856.36

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Solution

The fourth proportional to 405,581.22, 608,457.50 and 152,856.36 is: 229,316.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,581.22 : 608,457.50 = 152,856.36 : x
  2. Step 2: Convert to fraction form
    405,581.22/608,457.50 = 152,856.36/x
  3. Step 3: Cross multiply
    405,581.22x = 608,457.50 × 152,856.36
  4. Step 4: Simplify right side
    405,581.22x = 93,006,597,900.42
  5. Step 5: Solve for x
    x = 93,006,597,900.42/405,581.22
  6. Step 6: Final answer
    x = 229,316.83

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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.