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Finding the Fourth Proportional to 382,193.28, 573,287.76 and 97,883.28

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Solution

The fourth proportional to 382,193.28, 573,287.76 and 97,883.28 is: 146,824.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,193.28 : 573,287.76 = 97,883.28 : x
  2. Step 2: Convert to fraction form
    382,193.28/573,287.76 = 97,883.28/x
  3. Step 3: Cross multiply
    382,193.28x = 573,287.76 × 97,883.28
  4. Step 4: Simplify right side
    382,193.28x = 56,115,286,332.65
  5. Step 5: Solve for x
    x = 56,115,286,332.65/382,193.28
  6. Step 6: Final answer
    x = 146,824.37

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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.