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Finding the Fourth Proportional to 656,563.70, 984,298.80 and 277,775.30

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Solution

The fourth proportional to 656,563.70, 984,298.80 and 277,775.30 is: 416,431.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,563.70 : 984,298.80 = 277,775.30 : x
  2. Step 2: Convert to fraction form
    656,563.70/984,298.80 = 277,775.30/x
  3. Step 3: Cross multiply
    656,563.70x = 984,298.80 × 277,775.30
  4. Step 4: Simplify right side
    656,563.70x = 273,413,894,459.64
  5. Step 5: Solve for x
    x = 273,413,894,459.64/656,563.70
  6. Step 6: Final answer
    x = 416,431.63

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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.