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Finding the Fourth Proportional to 363,896.48, 546,354.80 and 186,530.72

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Solution

The fourth proportional to 363,896.48, 546,354.80 and 186,530.72 is: 280,057.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,896.48 : 546,354.80 = 186,530.72 : x
  2. Step 2: Convert to fraction form
    363,896.48/546,354.80 = 186,530.72/x
  3. Step 3: Cross multiply
    363,896.48x = 546,354.80 × 186,530.72
  4. Step 4: Simplify right side
    363,896.48x = 101,911,954,219.46
  5. Step 5: Solve for x
    x = 101,911,954,219.46/363,896.48
  6. Step 6: Final answer
    x = 280,057.54

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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.