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Finding the Fourth Proportional to 413,209.66, 619,732.81 and 113,612.94

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Solution

The fourth proportional to 413,209.66, 619,732.81 and 113,612.94 is: 170,396.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,209.66 : 619,732.81 = 113,612.94 : x
  2. Step 2: Convert to fraction form
    413,209.66/619,732.81 = 113,612.94/x
  3. Step 3: Cross multiply
    413,209.66x = 619,732.81 × 113,612.94
  4. Step 4: Simplify right side
    413,209.66x = 70,409,666,558.56
  5. Step 5: Solve for x
    x = 70,409,666,558.56/413,209.66
  6. Step 6: Final answer
    x = 170,396.95

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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.