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Finding the Fourth Proportional to 268,582.40, 403,059.90 and 202,162.40

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Solution

The fourth proportional to 268,582.40, 403,059.90 and 202,162.40 is: 303,383.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,582.40 : 403,059.90 = 202,162.40 : x
  2. Step 2: Convert to fraction form
    268,582.40/403,059.90 = 202,162.40/x
  3. Step 3: Cross multiply
    268,582.40x = 403,059.90 × 202,162.40
  4. Step 4: Simplify right side
    268,582.40x = 81,483,556,727.76
  5. Step 5: Solve for x
    x = 81,483,556,727.76/268,582.40
  6. Step 6: Final answer
    x = 303,383.83

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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.