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Finding the Fourth Proportional to 645,114.80, 966,894.60 and 329,409.20

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Solution

The fourth proportional to 645,114.80, 966,894.60 and 329,409.20 is: 493,716.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,114.80 : 966,894.60 = 329,409.20 : x
  2. Step 2: Convert to fraction form
    645,114.80/966,894.60 = 329,409.20/x
  3. Step 3: Cross multiply
    645,114.80x = 966,894.60 × 329,409.20
  4. Step 4: Simplify right side
    645,114.80x = 318,503,976,670.32
  5. Step 5: Solve for x
    x = 318,503,976,670.32/645,114.80
  6. Step 6: Final answer
    x = 493,716.74

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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.