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Finding the Fourth Proportional to 456,760.50, 685,206.09 and 141,241.74

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Solution

The fourth proportional to 456,760.50, 685,206.09 and 141,241.74 is: 211,882.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,760.50 : 685,206.09 = 141,241.74 : x
  2. Step 2: Convert to fraction form
    456,760.50/685,206.09 = 141,241.74/x
  3. Step 3: Cross multiply
    456,760.50x = 685,206.09 × 141,241.74
  4. Step 4: Simplify right side
    456,760.50x = 96,779,700,410.20
  5. Step 5: Solve for x
    x = 96,779,700,410.20/456,760.50
  6. Step 6: Final answer
    x = 211,882.81

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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.