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Finding the Fourth Proportional to 382,436.64, 573,720.57 and 116,224.07

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Solution

The fourth proportional to 382,436.64, 573,720.57 and 116,224.07 is: 174,356.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,436.64 : 573,720.57 = 116,224.07 : x
  2. Step 2: Convert to fraction form
    382,436.64/573,720.57 = 116,224.07/x
  3. Step 3: Cross multiply
    382,436.64x = 573,720.57 × 116,224.07
  4. Step 4: Simplify right side
    382,436.64x = 66,680,136,819.52
  5. Step 5: Solve for x
    x = 66,680,136,819.52/382,436.64
  6. Step 6: Final answer
    x = 174,356.04

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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.