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Finding the Fourth Proportional to 651,966.70, 978,360.45 and 277,984.30

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Solution

The fourth proportional to 651,966.70, 978,360.45 and 277,984.30 is: 417,151.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,966.70 : 978,360.45 = 277,984.30 : x
  2. Step 2: Convert to fraction form
    651,966.70/978,360.45 = 277,984.30/x
  3. Step 3: Cross multiply
    651,966.70x = 978,360.45 × 277,984.30
  4. Step 4: Simplify right side
    651,966.70x = 271,968,844,840.94
  5. Step 5: Solve for x
    x = 271,968,844,840.94/651,966.70
  6. Step 6: Final answer
    x = 417,151.44

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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.