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Finding the Fourth Proportional to 339,604.80, 509,407.20 and 162,457.80

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Solution

The fourth proportional to 339,604.80, 509,407.20 and 162,457.80 is: 243,686.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,604.80 : 509,407.20 = 162,457.80 : x
  2. Step 2: Convert to fraction form
    339,604.80/509,407.20 = 162,457.80/x
  3. Step 3: Cross multiply
    339,604.80x = 509,407.20 × 162,457.80
  4. Step 4: Simplify right side
    339,604.80x = 82,757,173,016.16
  5. Step 5: Solve for x
    x = 82,757,173,016.16/339,604.80
  6. Step 6: Final answer
    x = 243,686.70

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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.