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Finding the Fourth Proportional to 340,306.38, 510,440.94 and 103,629.24

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Solution

The fourth proportional to 340,306.38, 510,440.94 and 103,629.24 is: 155,438.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,306.38 : 510,440.94 = 103,629.24 : x
  2. Step 2: Convert to fraction form
    340,306.38/510,440.94 = 103,629.24/x
  3. Step 3: Cross multiply
    340,306.38x = 510,440.94 × 103,629.24
  4. Step 4: Simplify right side
    340,306.38x = 52,896,606,677.09
  5. Step 5: Solve for x
    x = 52,896,606,677.09/340,306.38
  6. Step 6: Final answer
    x = 155,438.19

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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.