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Finding the Fourth Proportional to 289,206.10, 434,327.55 and 210,409.30

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Solution

The fourth proportional to 289,206.10, 434,327.55 and 210,409.30 is: 315,991.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,206.10 : 434,327.55 = 210,409.30 : x
  2. Step 2: Convert to fraction form
    289,206.10/434,327.55 = 210,409.30/x
  3. Step 3: Cross multiply
    289,206.10x = 434,327.55 × 210,409.30
  4. Step 4: Simplify right side
    289,206.10x = 91,386,555,766.22
  5. Step 5: Solve for x
    x = 91,386,555,766.22/289,206.10
  6. Step 6: Final answer
    x = 315,991.11

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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.