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Finding the Fourth Proportional to 382,347.63, 573,484.16 and 116,110.46

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Solution

The fourth proportional to 382,347.63, 573,484.16 and 116,110.46 is: 174,154.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,347.63 : 573,484.16 = 116,110.46 : x
  2. Step 2: Convert to fraction form
    382,347.63/573,484.16 = 116,110.46/x
  3. Step 3: Cross multiply
    382,347.63x = 573,484.16 × 116,110.46
  4. Step 4: Simplify right side
    382,347.63x = 66,587,511,344.30
  5. Step 5: Solve for x
    x = 66,587,511,344.30/382,347.63
  6. Step 6: Final answer
    x = 174,154.37

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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.