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Finding the Fourth Proportional to 364,093.14, 546,247.22 and 186,724.40

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Solution

The fourth proportional to 364,093.14, 546,247.22 and 186,724.40 is: 280,141.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,093.14 : 546,247.22 = 186,724.40 : x
  2. Step 2: Convert to fraction form
    364,093.14/546,247.22 = 186,724.40/x
  3. Step 3: Cross multiply
    364,093.14x = 546,247.22 × 186,724.40
  4. Step 4: Simplify right side
    364,093.14x = 101,997,684,406.17
  5. Step 5: Solve for x
    x = 101,997,684,406.17/364,093.14
  6. Step 6: Final answer
    x = 280,141.74

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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.