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Finding the Fourth Proportional to 647,871.76, 971,816.28 and 227,159.92

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Solution

The fourth proportional to 647,871.76, 971,816.28 and 227,159.92 is: 340,742.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,871.76 : 971,816.28 = 227,159.92 : x
  2. Step 2: Convert to fraction form
    647,871.76/971,816.28 = 227,159.92/x
  3. Step 3: Cross multiply
    647,871.76x = 971,816.28 × 227,159.92
  4. Step 4: Simplify right side
    647,871.76x = 220,757,708,419.50
  5. Step 5: Solve for x
    x = 220,757,708,419.50/647,871.76
  6. Step 6: Final answer
    x = 340,742.91

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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.