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Finding the Fourth Proportional to 547,760.64, 821,875.20 and 263,314.56

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Solution

The fourth proportional to 547,760.64, 821,875.20 and 263,314.56 is: 395,084.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,760.64 : 821,875.20 = 263,314.56 : x
  2. Step 2: Convert to fraction form
    547,760.64/821,875.20 = 263,314.56/x
  3. Step 3: Cross multiply
    547,760.64x = 821,875.20 × 263,314.56
  4. Step 4: Simplify right side
    547,760.64x = 216,411,706,662.91
  5. Step 5: Solve for x
    x = 216,411,706,662.91/547,760.64
  6. Step 6: Final answer
    x = 395,084.44

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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.