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Finding the Fourth Proportional to 410,845.30, 576,842.30 and 410,845.30

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Solution

The fourth proportional to 410,845.30, 576,842.30 and 410,845.30 is: 576,842.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,845.30 : 576,842.30 = 410,845.30 : x
  2. Step 2: Convert to fraction form
    410,845.30/576,842.30 = 410,845.30/x
  3. Step 3: Cross multiply
    410,845.30x = 576,842.30 × 410,845.30
  4. Step 4: Simplify right side
    410,845.30x = 236,992,947,796.19
  5. Step 5: Solve for x
    x = 236,992,947,796.19/410,845.30
  6. Step 6: Final answer
    x = 576,842.30

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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.