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Finding the Fourth Proportional to 651,955.20, 978,343.20 and 277,972.80

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Solution

The fourth proportional to 651,955.20, 978,343.20 and 277,972.80 is: 417,134.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,955.20 : 978,343.20 = 277,972.80 : x
  2. Step 2: Convert to fraction form
    651,955.20/978,343.20 = 277,972.80/x
  3. Step 3: Cross multiply
    651,955.20x = 978,343.20 × 277,972.80
  4. Step 4: Simplify right side
    651,955.20x = 271,952,798,664.96
  5. Step 5: Solve for x
    x = 271,952,798,664.96/651,955.20
  6. Step 6: Final answer
    x = 417,134.18

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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.