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Finding the Fourth Proportional to 364,010.80, 546,340.20 and 214,063.60

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Solution

The fourth proportional to 364,010.80, 546,340.20 and 214,063.60 is: 321,285.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,010.80 : 546,340.20 = 214,063.60 : x
  2. Step 2: Convert to fraction form
    364,010.80/546,340.20 = 214,063.60/x
  3. Step 3: Cross multiply
    364,010.80x = 546,340.20 × 214,063.60
  4. Step 4: Simplify right side
    364,010.80x = 116,951,550,036.72
  5. Step 5: Solve for x
    x = 116,951,550,036.72/364,010.80
  6. Step 6: Final answer
    x = 321,285.93

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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.