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Finding the Fourth Proportional to 312,444.12, 431,173.26 and 169,204.38

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Solution

The fourth proportional to 312,444.12, 431,173.26 and 169,204.38 is: 233,502.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,444.12 : 431,173.26 = 169,204.38 : x
  2. Step 2: Convert to fraction form
    312,444.12/431,173.26 = 169,204.38/x
  3. Step 3: Cross multiply
    312,444.12x = 431,173.26 × 169,204.38
  4. Step 4: Simplify right side
    312,444.12x = 72,956,404,130.88
  5. Step 5: Solve for x
    x = 72,956,404,130.88/312,444.12
  6. Step 6: Final answer
    x = 233,502.25

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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.