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Finding the Fourth Proportional to 413,862.56, 620,274.32 and 176,926.80

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Solution

The fourth proportional to 413,862.56, 620,274.32 and 176,926.80 is: 265,168.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,862.56 : 620,274.32 = 176,926.80 : x
  2. Step 2: Convert to fraction form
    413,862.56/620,274.32 = 176,926.80/x
  3. Step 3: Cross multiply
    413,862.56x = 620,274.32 × 176,926.80
  4. Step 4: Simplify right side
    413,862.56x = 109,743,150,559.78
  5. Step 5: Solve for x
    x = 109,743,150,559.78/413,862.56
  6. Step 6: Final answer
    x = 265,168.10

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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.