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Finding the Fourth Proportional to 382,204.80, 573,307.20 and 97,894.80

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Solution

The fourth proportional to 382,204.80, 573,307.20 and 97,894.80 is: 146,842.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,204.80 : 573,307.20 = 97,894.80 : x
  2. Step 2: Convert to fraction form
    382,204.80/573,307.20 = 97,894.80/x
  3. Step 3: Cross multiply
    382,204.80x = 573,307.20 × 97,894.80
  4. Step 4: Simplify right side
    382,204.80x = 56,123,793,682.56
  5. Step 5: Solve for x
    x = 56,123,793,682.56/382,204.80
  6. Step 6: Final answer
    x = 146,842.20

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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.