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Finding the Fourth Proportional to 506,383.60, 759,618.76 and 132,406

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Solution

The fourth proportional to 506,383.60, 759,618.76 and 132,406 is: 198,620.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,383.60 : 759,618.76 = 132,406 : x
  2. Step 2: Convert to fraction form
    506,383.60/759,618.76 = 132,406/x
  3. Step 3: Cross multiply
    506,383.60x = 759,618.76 × 132,406
  4. Step 4: Simplify right side
    506,383.60x = 100,578,081,536.56
  5. Step 5: Solve for x
    x = 100,578,081,536.56/506,383.60
  6. Step 6: Final answer
    x = 198,620.34

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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.