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Finding the Fourth Proportional to 269,583.60, 404,461.80 and 180,937.20

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Solution

The fourth proportional to 269,583.60, 404,461.80 and 180,937.20 is: 271,463.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,583.60 : 404,461.80 = 180,937.20 : x
  2. Step 2: Convert to fraction form
    269,583.60/404,461.80 = 180,937.20/x
  3. Step 3: Cross multiply
    269,583.60x = 404,461.80 × 180,937.20
  4. Step 4: Simplify right side
    269,583.60x = 73,182,185,598.96
  5. Step 5: Solve for x
    x = 73,182,185,598.96/269,583.60
  6. Step 6: Final answer
    x = 271,463.79

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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.