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Finding the Fourth Proportional to 543,828.60, 815,742.90 and 543,828.60

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Solution

The fourth proportional to 543,828.60, 815,742.90 and 543,828.60 is: 815,742.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,828.60 : 815,742.90 = 543,828.60 : x
  2. Step 2: Convert to fraction form
    543,828.60/815,742.90 = 543,828.60/x
  3. Step 3: Cross multiply
    543,828.60x = 815,742.90 × 543,828.60
  4. Step 4: Simplify right side
    543,828.60x = 443,624,319,266.94
  5. Step 5: Solve for x
    x = 443,624,319,266.94/543,828.60
  6. Step 6: Final answer
    x = 815,742.90

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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.