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Finding the Fourth Proportional to 647,164.40, 971,184.02 and 226,443.92

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Solution

The fourth proportional to 647,164.40, 971,184.02 and 226,443.92 is: 339,818.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,164.40 : 971,184.02 = 226,443.92 : x
  2. Step 2: Convert to fraction form
    647,164.40/971,184.02 = 226,443.92/x
  3. Step 3: Cross multiply
    647,164.40x = 971,184.02 × 226,443.92
  4. Step 4: Simplify right side
    647,164.40x = 219,918,710,542.02
  5. Step 5: Solve for x
    x = 219,918,710,542.02/647,164.40
  6. Step 6: Final answer
    x = 339,818.93

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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.