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Finding the Fourth Proportional to 484,271.76, 726,524.10 and 151,847.76

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Solution

The fourth proportional to 484,271.76, 726,524.10 and 151,847.76 is: 227,808.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,271.76 : 726,524.10 = 151,847.76 : x
  2. Step 2: Convert to fraction form
    484,271.76/726,524.10 = 151,847.76/x
  3. Step 3: Cross multiply
    484,271.76x = 726,524.10 × 151,847.76
  4. Step 4: Simplify right side
    484,271.76x = 110,321,057,171.02
  5. Step 5: Solve for x
    x = 110,321,057,171.02/484,271.76
  6. Step 6: Final answer
    x = 227,808.16

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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.