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Finding the Fourth Proportional to 382,022.70, 573,034.05 and 97,712.70

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Solution

The fourth proportional to 382,022.70, 573,034.05 and 97,712.70 is: 146,569.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,022.70 : 573,034.05 = 97,712.70 : x
  2. Step 2: Convert to fraction form
    382,022.70/573,034.05 = 97,712.70/x
  3. Step 3: Cross multiply
    382,022.70x = 573,034.05 × 97,712.70
  4. Step 4: Simplify right side
    382,022.70x = 55,992,704,217.44
  5. Step 5: Solve for x
    x = 55,992,704,217.44/382,022.70
  6. Step 6: Final answer
    x = 146,569.05

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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.