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Finding the Fourth Proportional to 333,189.70, 459,800.50 and 180,228.34

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Solution

The fourth proportional to 333,189.70, 459,800.50 and 180,228.34 is: 248,714.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,189.70 : 459,800.50 = 180,228.34 : x
  2. Step 2: Convert to fraction form
    333,189.70/459,800.50 = 180,228.34/x
  3. Step 3: Cross multiply
    333,189.70x = 459,800.50 × 180,228.34
  4. Step 4: Simplify right side
    333,189.70x = 82,869,081,308.28
  5. Step 5: Solve for x
    x = 82,869,081,308.28/333,189.70
  6. Step 6: Final answer
    x = 248,714.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.