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Finding the Fourth Proportional to 382,204.55, 573,306.83 and 97,894.55

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Solution

The fourth proportional to 382,204.55, 573,306.83 and 97,894.55 is: 146,841.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,204.55 : 573,306.83 = 97,894.55 : x
  2. Step 2: Convert to fraction form
    382,204.55/573,306.83 = 97,894.55/x
  3. Step 3: Cross multiply
    382,204.55x = 573,306.83 × 97,894.55
  4. Step 4: Simplify right side
    382,204.55x = 56,123,614,134.78
  5. Step 5: Solve for x
    x = 56,123,614,134.78/382,204.55
  6. Step 6: Final answer
    x = 146,841.83

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1.5x scale

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.