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Finding the Fourth Proportional to 339,713.70, 509,862.15 and 150,465.30

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Solution

The fourth proportional to 339,713.70, 509,862.15 and 150,465.30 is: 225,827.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,713.70 : 509,862.15 = 150,465.30 : x
  2. Step 2: Convert to fraction form
    339,713.70/509,862.15 = 150,465.30/x
  3. Step 3: Cross multiply
    339,713.70x = 509,862.15 × 150,465.30
  4. Step 4: Simplify right side
    339,713.70x = 76,716,561,358.40
  5. Step 5: Solve for x
    x = 76,716,561,358.40/339,713.70
  6. Step 6: Final answer
    x = 225,827.10

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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.