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Finding the Fourth Proportional to 339,370.40, 509,113.20 and 102,711.20

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Solution

The fourth proportional to 339,370.40, 509,113.20 and 102,711.20 is: 154,084.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,370.40 : 509,113.20 = 102,711.20 : x
  2. Step 2: Convert to fraction form
    339,370.40/509,113.20 = 102,711.20/x
  3. Step 3: Cross multiply
    339,370.40x = 509,113.20 × 102,711.20
  4. Step 4: Simplify right side
    339,370.40x = 52,291,627,707.84
  5. Step 5: Solve for x
    x = 52,291,627,707.84/339,370.40
  6. Step 6: Final answer
    x = 154,084.23

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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.