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Finding the Fourth Proportional to 645,051.40, 966,770.70 and 329,633.80

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Solution

The fourth proportional to 645,051.40, 966,770.70 and 329,633.80 is: 494,038.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,051.40 : 966,770.70 = 329,633.80 : x
  2. Step 2: Convert to fraction form
    645,051.40/966,770.70 = 329,633.80/x
  3. Step 3: Cross multiply
    645,051.40x = 966,770.70 × 329,633.80
  4. Step 4: Simplify right side
    645,051.40x = 318,680,299,569.66
  5. Step 5: Solve for x
    x = 318,680,299,569.66/645,051.40
  6. Step 6: Final answer
    x = 494,038.61

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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.