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Finding the Fourth Proportional to 413,102.63, 619,653.95 and 113,614.85

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Solution

The fourth proportional to 413,102.63, 619,653.95 and 113,614.85 is: 170,422.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,102.63 : 619,653.95 = 113,614.85 : x
  2. Step 2: Convert to fraction form
    413,102.63/619,653.95 = 113,614.85/x
  3. Step 3: Cross multiply
    413,102.63x = 619,653.95 × 113,614.85
  4. Step 4: Simplify right side
    413,102.63x = 70,401,891,988.27
  5. Step 5: Solve for x
    x = 70,401,891,988.27/413,102.63
  6. Step 6: Final answer
    x = 170,422.28

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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.