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Finding the Fourth Proportional to 275,272.93, 412,701.57 and 180,526.98

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Solution

The fourth proportional to 275,272.93, 412,701.57 and 180,526.98 is: 270,654.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,272.93 : 412,701.57 = 180,526.98 : x
  2. Step 2: Convert to fraction form
    275,272.93/412,701.57 = 180,526.98/x
  3. Step 3: Cross multiply
    275,272.93x = 412,701.57 × 180,526.98
  4. Step 4: Simplify right side
    275,272.93x = 74,503,768,073.36
  5. Step 5: Solve for x
    x = 74,503,768,073.36/275,272.93
  6. Step 6: Final answer
    x = 270,654.18

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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.