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Finding the Fourth Proportional to 647,433.60, 971,114.58 and 198,154.14

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Solution

The fourth proportional to 647,433.60, 971,114.58 and 198,154.14 is: 297,220.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,433.60 : 971,114.58 = 198,154.14 : x
  2. Step 2: Convert to fraction form
    647,433.60/971,114.58 = 198,154.14/x
  3. Step 3: Cross multiply
    647,433.60x = 971,114.58 × 198,154.14
  4. Step 4: Simplify right side
    647,433.60x = 192,430,374,441.36
  5. Step 5: Solve for x
    x = 192,430,374,441.36/647,433.60
  6. Step 6: Final answer
    x = 297,220.25

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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.