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Finding the Fourth Proportional to 268,051.20, 401,493.60 and 215,563.20

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Solution

The fourth proportional to 268,051.20, 401,493.60 and 215,563.20 is: 322,875.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,051.20 : 401,493.60 = 215,563.20 : x
  2. Step 2: Convert to fraction form
    268,051.20/401,493.60 = 215,563.20/x
  3. Step 3: Cross multiply
    268,051.20x = 401,493.60 × 215,563.20
  4. Step 4: Simplify right side
    268,051.20x = 86,547,245,195.52
  5. Step 5: Solve for x
    x = 86,547,245,195.52/268,051.20
  6. Step 6: Final answer
    x = 322,875.80

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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.