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Finding the Fourth Proportional to 333,289.96, 459,938.28 and 180,327.76

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Solution

The fourth proportional to 333,289.96, 459,938.28 and 180,327.76 is: 248,851.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,289.96 : 459,938.28 = 180,327.76 : x
  2. Step 2: Convert to fraction form
    333,289.96/459,938.28 = 180,327.76/x
  3. Step 3: Cross multiply
    333,289.96x = 459,938.28 × 180,327.76
  4. Step 4: Simplify right side
    333,289.96x = 82,939,639,770.65
  5. Step 5: Solve for x
    x = 82,939,639,770.65/333,289.96
  6. Step 6: Final answer
    x = 248,851.30

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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.