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Finding the Fourth Proportional to 413,845.79, 620,780.38 and 114,326.42

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Solution

The fourth proportional to 413,845.79, 620,780.38 and 114,326.42 is: 171,492.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,845.79 : 620,780.38 = 114,326.42 : x
  2. Step 2: Convert to fraction form
    413,845.79/620,780.38 = 114,326.42/x
  3. Step 3: Cross multiply
    413,845.79x = 620,780.38 × 114,326.42
  4. Step 4: Simplify right side
    413,845.79x = 70,971,595,061.92
  5. Step 5: Solve for x
    x = 70,971,595,061.92/413,845.79
  6. Step 6: Final answer
    x = 171,492.85

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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.