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Finding the Fourth Proportional to 310,449.26, 428,420.38 and 176,313.26

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Solution

The fourth proportional to 310,449.26, 428,420.38 and 176,313.26 is: 243,312.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,449.26 : 428,420.38 = 176,313.26 : x
  2. Step 2: Convert to fraction form
    310,449.26/428,420.38 = 176,313.26/x
  3. Step 3: Cross multiply
    310,449.26x = 428,420.38 × 176,313.26
  4. Step 4: Simplify right side
    310,449.26x = 75,536,193,848.24
  5. Step 5: Solve for x
    x = 75,536,193,848.24/310,449.26
  6. Step 6: Final answer
    x = 243,312.53

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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.