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Finding the Fourth Proportional to 339,460.84, 509,246.34 and 114,834.93

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Solution

The fourth proportional to 339,460.84, 509,246.34 and 114,834.93 is: 172,271.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,460.84 : 509,246.34 = 114,834.93 : x
  2. Step 2: Convert to fraction form
    339,460.84/509,246.34 = 114,834.93/x
  3. Step 3: Cross multiply
    339,460.84x = 509,246.34 × 114,834.93
  4. Step 4: Simplify right side
    339,460.84x = 58,479,267,806.66
  5. Step 5: Solve for x
    x = 58,479,267,806.66/339,460.84
  6. Step 6: Final answer
    x = 172,271.03

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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.