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Finding the Fourth Proportional to 510,078.60, 765,117.90 and 431,346.60

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Solution

The fourth proportional to 510,078.60, 765,117.90 and 431,346.60 is: 647,019.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,078.60 : 765,117.90 = 431,346.60 : x
  2. Step 2: Convert to fraction form
    510,078.60/765,117.90 = 431,346.60/x
  3. Step 3: Cross multiply
    510,078.60x = 765,117.90 × 431,346.60
  4. Step 4: Simplify right side
    510,078.60x = 330,031,004,764.14
  5. Step 5: Solve for x
    x = 330,031,004,764.14/510,078.60
  6. Step 6: Final answer
    x = 647,019.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.