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Finding the Fourth Proportional to 510,166.80, 764,375.40 and 332,582.40

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Solution

The fourth proportional to 510,166.80, 764,375.40 and 332,582.40 is: 498,303.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,166.80 : 764,375.40 = 332,582.40 : x
  2. Step 2: Convert to fraction form
    510,166.80/764,375.40 = 332,582.40/x
  3. Step 3: Cross multiply
    510,166.80x = 764,375.40 × 332,582.40
  4. Step 4: Simplify right side
    510,166.80x = 254,217,805,032.96
  5. Step 5: Solve for x
    x = 254,217,805,032.96/510,166.80
  6. Step 6: Final answer
    x = 498,303.31

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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.