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Finding the Fourth Proportional to 382,754.34, 574,254.45 and 116,566.38

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Solution

The fourth proportional to 382,754.34, 574,254.45 and 116,566.38 is: 174,887.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,754.34 : 574,254.45 = 116,566.38 : x
  2. Step 2: Convert to fraction form
    382,754.34/574,254.45 = 116,566.38/x
  3. Step 3: Cross multiply
    382,754.34x = 574,254.45 × 116,566.38
  4. Step 4: Simplify right side
    382,754.34x = 66,938,762,435.39
  5. Step 5: Solve for x
    x = 66,938,762,435.39/382,754.34
  6. Step 6: Final answer
    x = 174,887.01

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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.