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Finding the Fourth Proportional to 589,940.33, 813,655.13 and 403,782.12

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Solution

The fourth proportional to 589,940.33, 813,655.13 and 403,782.12 is: 556,902.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,940.33 : 813,655.13 = 403,782.12 : x
  2. Step 2: Convert to fraction form
    589,940.33/813,655.13 = 403,782.12/x
  3. Step 3: Cross multiply
    589,940.33x = 813,655.13 × 403,782.12
  4. Step 4: Simplify right side
    589,940.33x = 328,539,394,349.73
  5. Step 5: Solve for x
    x = 328,539,394,349.73/589,940.33
  6. Step 6: Final answer
    x = 556,902.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.