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Finding the Fourth Proportional to 580,852.68, 801,566.58 and 322,732

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Solution

The fourth proportional to 580,852.68, 801,566.58 and 322,732 is: 445,364.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,852.68 : 801,566.58 = 322,732 : x
  2. Step 2: Convert to fraction form
    580,852.68/801,566.58 = 322,732/x
  3. Step 3: Cross multiply
    580,852.68x = 801,566.58 × 322,732
  4. Step 4: Simplify right side
    580,852.68x = 258,691,185,496.56
  5. Step 5: Solve for x
    x = 258,691,185,496.56/580,852.68
  6. Step 6: Final answer
    x = 445,364.54

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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.