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Finding the Fourth Proportional to 382,690.70, 574,119.10 and 116,444.30

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Solution

The fourth proportional to 382,690.70, 574,119.10 and 116,444.30 is: 174,691.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,690.70 : 574,119.10 = 116,444.30 : x
  2. Step 2: Convert to fraction form
    382,690.70/574,119.10 = 116,444.30/x
  3. Step 3: Cross multiply
    382,690.70x = 574,119.10 × 116,444.30
  4. Step 4: Simplify right side
    382,690.70x = 66,852,896,716.13
  5. Step 5: Solve for x
    x = 66,852,896,716.13/382,690.70
  6. Step 6: Final answer
    x = 174,691.72

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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.