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Finding the Fourth Proportional to 270,741.34, 373,397.20 and 202,920.04

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Solution

The fourth proportional to 270,741.34, 373,397.20 and 202,920.04 is: 279,860.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,741.34 : 373,397.20 = 202,920.04 : x
  2. Step 2: Convert to fraction form
    270,741.34/373,397.20 = 202,920.04/x
  3. Step 3: Cross multiply
    270,741.34x = 373,397.20 × 202,920.04
  4. Step 4: Simplify right side
    270,741.34x = 75,769,774,759.89
  5. Step 5: Solve for x
    x = 75,769,774,759.89/270,741.34
  6. Step 6: Final answer
    x = 279,860.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.