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Finding the Fourth Proportional to 315,538.95, 438,383.29 and 311,755.55

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Solution

The fourth proportional to 315,538.95, 438,383.29 and 311,755.55 is: 433,126.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,538.95 : 438,383.29 = 311,755.55 : x
  2. Step 2: Convert to fraction form
    315,538.95/438,383.29 = 311,755.55/x
  3. Step 3: Cross multiply
    315,538.95x = 438,383.29 × 311,755.55
  4. Step 4: Simplify right side
    315,538.95x = 136,668,422,357.39
  5. Step 5: Solve for x
    x = 136,668,422,357.39/315,538.95
  6. Step 6: Final answer
    x = 433,126.95

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.