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Finding the Fourth Proportional to 289,208.60, 434,331.30 and 210,411.80

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Solution

The fourth proportional to 289,208.60, 434,331.30 and 210,411.80 is: 315,994.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,208.60 : 434,331.30 = 210,411.80 : x
  2. Step 2: Convert to fraction form
    289,208.60/434,331.30 = 210,411.80/x
  3. Step 3: Cross multiply
    289,208.60x = 434,331.30 × 210,411.80
  4. Step 4: Simplify right side
    289,208.60x = 91,388,430,629.34
  5. Step 5: Solve for x
    x = 91,388,430,629.34/289,208.60
  6. Step 6: Final answer
    x = 315,994.86

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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.