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Finding the Fourth Proportional to 260,011.60, 365,066 and 260,011.60

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Solution

The fourth proportional to 260,011.60, 365,066 and 260,011.60 is: 365,066

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,011.60 : 365,066 = 260,011.60 : x
  2. Step 2: Convert to fraction form
    260,011.60/365,066 = 260,011.60/x
  3. Step 3: Cross multiply
    260,011.60x = 365,066 × 260,011.60
  4. Step 4: Simplify right side
    260,011.60x = 94,921,394,765.60
  5. Step 5: Solve for x
    x = 94,921,394,765.60/260,011.60
  6. Step 6: Final answer
    x = 365,066

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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.