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Finding the Fourth Proportional to 260,742.30, 365,564.10 and 260,742.30

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Solution

The fourth proportional to 260,742.30, 365,564.10 and 260,742.30 is: 365,564.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,742.30 : 365,564.10 = 260,742.30 : x
  2. Step 2: Convert to fraction form
    260,742.30/365,564.10 = 260,742.30/x
  3. Step 3: Cross multiply
    260,742.30x = 365,564.10 × 260,742.30
  4. Step 4: Simplify right side
    260,742.30x = 95,318,024,231.43
  5. Step 5: Solve for x
    x = 95,318,024,231.43/260,742.30
  6. Step 6: Final answer
    x = 365,564.10

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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.