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Finding the Fourth Proportional to 509,304.34, 763,956.65 and 189,414.41

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Solution

The fourth proportional to 509,304.34, 763,956.65 and 189,414.41 is: 284,121.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,304.34 : 763,956.65 = 189,414.41 : x
  2. Step 2: Convert to fraction form
    509,304.34/763,956.65 = 189,414.41/x
  3. Step 3: Cross multiply
    509,304.34x = 763,956.65 × 189,414.41
  4. Step 4: Simplify right side
    509,304.34x = 144,704,398,125.33
  5. Step 5: Solve for x
    x = 144,704,398,125.33/509,304.34
  6. Step 6: Final answer
    x = 284,121.67

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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.