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Finding the Fourth Proportional to 382,331.74, 573,460.55 and 116,094.60

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Solution

The fourth proportional to 382,331.74, 573,460.55 and 116,094.60 is: 174,130.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,331.74 : 573,460.55 = 116,094.60 : x
  2. Step 2: Convert to fraction form
    382,331.74/573,460.55 = 116,094.60/x
  3. Step 3: Cross multiply
    382,331.74x = 573,460.55 × 116,094.60
  4. Step 4: Simplify right side
    382,331.74x = 66,575,670,300.73
  5. Step 5: Solve for x
    x = 66,575,670,300.73/382,331.74
  6. Step 6: Final answer
    x = 174,130.64

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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.