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Finding the Fourth Proportional to 382,710.56, 574,071.30 and 133,392.56

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Solution

The fourth proportional to 382,710.56, 574,071.30 and 133,392.56 is: 200,090.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,710.56 : 574,071.30 = 133,392.56 : x
  2. Step 2: Convert to fraction form
    382,710.56/574,071.30 = 133,392.56/x
  3. Step 3: Cross multiply
    382,710.56x = 574,071.30 × 133,392.56
  4. Step 4: Simplify right side
    382,710.56x = 76,576,837,459.17
  5. Step 5: Solve for x
    x = 76,576,837,459.17/382,710.56
  6. Step 6: Final answer
    x = 200,090.74

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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.