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Finding the Fourth Proportional to 364,270.56, 546,405.84 and 114,972

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Solution

The fourth proportional to 364,270.56, 546,405.84 and 114,972 is: 172,458

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,270.56 : 546,405.84 = 114,972 : x
  2. Step 2: Convert to fraction form
    364,270.56/546,405.84 = 114,972/x
  3. Step 3: Cross multiply
    364,270.56x = 546,405.84 × 114,972
  4. Step 4: Simplify right side
    364,270.56x = 62,821,372,236.48
  5. Step 5: Solve for x
    x = 62,821,372,236.48/364,270.56
  6. Step 6: Final answer
    x = 172,458

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.