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Finding the Fourth Proportional to 569,283.58, 854,065.50 and 401,132.31

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Solution

The fourth proportional to 569,283.58, 854,065.50 and 401,132.31 is: 601,797.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,283.58 : 854,065.50 = 401,132.31 : x
  2. Step 2: Convert to fraction form
    569,283.58/854,065.50 = 401,132.31/x
  3. Step 3: Cross multiply
    569,283.58x = 854,065.50 × 401,132.31
  4. Step 4: Simplify right side
    569,283.58x = 342,593,266,906.31
  5. Step 5: Solve for x
    x = 342,593,266,906.31/569,283.58
  6. Step 6: Final answer
    x = 601,797.20

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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.