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Finding the Fourth Proportional to 452,406.59, 678,609.45 and 115,447.24

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Solution

The fourth proportional to 452,406.59, 678,609.45 and 115,447.24 is: 173,170.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,406.59 : 678,609.45 = 115,447.24 : x
  2. Step 2: Convert to fraction form
    452,406.59/678,609.45 = 115,447.24/x
  3. Step 3: Cross multiply
    452,406.59x = 678,609.45 × 115,447.24
  4. Step 4: Simplify right side
    452,406.59x = 78,343,588,040.42
  5. Step 5: Solve for x
    x = 78,343,588,040.42/452,406.59
  6. Step 6: Final answer
    x = 173,170.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.