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Finding the Fourth Proportional to 382,424.40, 573,666.96 and 116,208.16

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Solution

The fourth proportional to 382,424.40, 573,666.96 and 116,208.16 is: 174,321.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,424.40 : 573,666.96 = 116,208.16 : x
  2. Step 2: Convert to fraction form
    382,424.40/573,666.96 = 116,208.16/x
  3. Step 3: Cross multiply
    382,424.40x = 573,666.96 × 116,208.16
  4. Step 4: Simplify right side
    382,424.40x = 66,664,781,874.39
  5. Step 5: Solve for x
    x = 66,664,781,874.39/382,424.40
  6. Step 6: Final answer
    x = 174,321.47

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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.