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Finding the Fourth Proportional to 283,296.98, 424,846.44 and 83,564.34

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Solution

The fourth proportional to 283,296.98, 424,846.44 and 83,564.34 is: 125,317.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,296.98 : 424,846.44 = 83,564.34 : x
  2. Step 2: Convert to fraction form
    283,296.98/424,846.44 = 83,564.34/x
  3. Step 3: Cross multiply
    283,296.98x = 424,846.44 × 83,564.34
  4. Step 4: Simplify right side
    283,296.98x = 35,502,012,359.95
  5. Step 5: Solve for x
    x = 35,502,012,359.95/283,296.98
  6. Step 6: Final answer
    x = 125,317.30

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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.