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Finding the Fourth Proportional to 382,338.64, 573,470.88 and 116,101.46

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Solution

The fourth proportional to 382,338.64, 573,470.88 and 116,101.46 is: 174,140.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,338.64 : 573,470.88 = 116,101.46 : x
  2. Step 2: Convert to fraction form
    382,338.64/573,470.88 = 116,101.46/x
  3. Step 3: Cross multiply
    382,338.64x = 573,470.88 × 116,101.46
  4. Step 4: Simplify right side
    382,338.64x = 66,580,806,435.48
  5. Step 5: Solve for x
    x = 66,580,806,435.48/382,338.64
  6. Step 6: Final answer
    x = 174,140.93

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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.