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Finding the Fourth Proportional to 647,435.10, 971,116.83 and 198,155.64

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Solution

The fourth proportional to 647,435.10, 971,116.83 and 198,155.64 is: 297,222.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,435.10 : 971,116.83 = 198,155.64 : x
  2. Step 2: Convert to fraction form
    647,435.10/971,116.83 = 198,155.64/x
  3. Step 3: Cross multiply
    647,435.10x = 971,116.83 × 198,155.64
  4. Step 4: Simplify right side
    647,435.10x = 192,432,276,963.42
  5. Step 5: Solve for x
    x = 192,432,276,963.42/647,435.10
  6. Step 6: Final answer
    x = 297,222.50

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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.