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Finding the Fourth Proportional to 310,956.49, 429,141.75 and 175,003.53

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Solution

The fourth proportional to 310,956.49, 429,141.75 and 175,003.53 is: 241,517.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,956.49 : 429,141.75 = 175,003.53 : x
  2. Step 2: Convert to fraction form
    310,956.49/429,141.75 = 175,003.53/x
  3. Step 3: Cross multiply
    310,956.49x = 429,141.75 × 175,003.53
  4. Step 4: Simplify right side
    310,956.49x = 75,101,321,120.38
  5. Step 5: Solve for x
    x = 75,101,321,120.38/310,956.49
  6. Step 6: Final answer
    x = 241,517.14

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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.