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Finding the Fourth Proportional to 642,136.80, 963,493.20 and 221,714.40

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Solution

The fourth proportional to 642,136.80, 963,493.20 and 221,714.40 is: 332,671.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,136.80 : 963,493.20 = 221,714.40 : x
  2. Step 2: Convert to fraction form
    642,136.80/963,493.20 = 221,714.40/x
  3. Step 3: Cross multiply
    642,136.80x = 963,493.20 × 221,714.40
  4. Step 4: Simplify right side
    642,136.80x = 213,620,316,742.08
  5. Step 5: Solve for x
    x = 213,620,316,742.08/642,136.80
  6. Step 6: Final answer
    x = 332,671.04

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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.