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Finding the Fourth Proportional to 392,361.10, 588,547.08 and 111,878.32

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Solution

The fourth proportional to 392,361.10, 588,547.08 and 111,878.32 is: 167,819.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,361.10 : 588,547.08 = 111,878.32 : x
  2. Step 2: Convert to fraction form
    392,361.10/588,547.08 = 111,878.32/x
  3. Step 3: Cross multiply
    392,361.10x = 588,547.08 × 111,878.32
  4. Step 4: Simplify right side
    392,361.10x = 65,845,658,551.31
  5. Step 5: Solve for x
    x = 65,845,658,551.31/392,361.10
  6. Step 6: Final answer
    x = 167,819.03

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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.