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Finding the Fourth Proportional to 364,516.80, 546,337.80 and 186,932.40

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Solution

The fourth proportional to 364,516.80, 546,337.80 and 186,932.40 is: 280,174.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,516.80 : 546,337.80 = 186,932.40 : x
  2. Step 2: Convert to fraction form
    364,516.80/546,337.80 = 186,932.40/x
  3. Step 3: Cross multiply
    364,516.80x = 546,337.80 × 186,932.40
  4. Step 4: Simplify right side
    364,516.80x = 102,128,236,164.72
  5. Step 5: Solve for x
    x = 102,128,236,164.72/364,516.80
  6. Step 6: Final answer
    x = 280,174.29

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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.