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Finding the Fourth Proportional to 484,829.64, 727,354.62 and 147,900.42

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Solution

The fourth proportional to 484,829.64, 727,354.62 and 147,900.42 is: 221,884.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,829.64 : 727,354.62 = 147,900.42 : x
  2. Step 2: Convert to fraction form
    484,829.64/727,354.62 = 147,900.42/x
  3. Step 3: Cross multiply
    484,829.64x = 727,354.62 × 147,900.42
  4. Step 4: Simplify right side
    484,829.64x = 107,576,053,786.94
  5. Step 5: Solve for x
    x = 107,576,053,786.94/484,829.64
  6. Step 6: Final answer
    x = 221,884.24

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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.