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Finding the Fourth Proportional to 647,365.20, 971,164.53 and 198,077.64

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Solution

The fourth proportional to 647,365.20, 971,164.53 and 198,077.64 is: 297,152.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,365.20 : 971,164.53 = 198,077.64 : x
  2. Step 2: Convert to fraction form
    647,365.20/971,164.53 = 198,077.64/x
  3. Step 3: Cross multiply
    647,365.20x = 971,164.53 × 198,077.64
  4. Step 4: Simplify right side
    647,365.20x = 192,365,978,154.11
  5. Step 5: Solve for x
    x = 192,365,978,154.11/647,365.20
  6. Step 6: Final answer
    x = 297,152.18

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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.