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Finding the Fourth Proportional to 613,682.51, 920,215.89 and 357,598.04

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Solution

The fourth proportional to 613,682.51, 920,215.89 and 357,598.04 is: 536,217.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,682.51 : 920,215.89 = 357,598.04 : x
  2. Step 2: Convert to fraction form
    613,682.51/920,215.89 = 357,598.04/x
  3. Step 3: Cross multiply
    613,682.51x = 920,215.89 × 357,598.04
  4. Step 4: Simplify right side
    613,682.51x = 329,067,394,039.78
  5. Step 5: Solve for x
    x = 329,067,394,039.78/613,682.51
  6. Step 6: Final answer
    x = 536,217.66

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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.