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Finding the Fourth Proportional to 382,538.70, 573,840.11 and 116,301.52

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Solution

The fourth proportional to 382,538.70, 573,840.11 and 116,301.52 is: 174,462.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,538.70 : 573,840.11 = 116,301.52 : x
  2. Step 2: Convert to fraction form
    382,538.70/573,840.11 = 116,301.52/x
  3. Step 3: Cross multiply
    382,538.70x = 573,840.11 × 116,301.52
  4. Step 4: Simplify right side
    382,538.70x = 66,738,478,038.02
  5. Step 5: Solve for x
    x = 66,738,478,038.02/382,538.70
  6. Step 6: Final answer
    x = 174,462.03

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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.