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Finding the Fourth Proportional to 230,890.80, 322,459.80 and 230,890.80

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Solution

The fourth proportional to 230,890.80, 322,459.80 and 230,890.80 is: 322,459.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,890.80 : 322,459.80 = 230,890.80 : x
  2. Step 2: Convert to fraction form
    230,890.80/322,459.80 = 230,890.80/x
  3. Step 3: Cross multiply
    230,890.80x = 322,459.80 × 230,890.80
  4. Step 4: Simplify right side
    230,890.80x = 74,453,001,189.84
  5. Step 5: Solve for x
    x = 74,453,001,189.84/230,890.80
  6. Step 6: Final answer
    x = 322,459.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.