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Finding the Fourth Proportional to 508,716.60, 763,074.90 and 309,427.80

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Solution

The fourth proportional to 508,716.60, 763,074.90 and 309,427.80 is: 464,141.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,716.60 : 763,074.90 = 309,427.80 : x
  2. Step 2: Convert to fraction form
    508,716.60/763,074.90 = 309,427.80/x
  3. Step 3: Cross multiply
    508,716.60x = 763,074.90 × 309,427.80
  4. Step 4: Simplify right side
    508,716.60x = 236,116,587,542.22
  5. Step 5: Solve for x
    x = 236,116,587,542.22/508,716.60
  6. Step 6: Final answer
    x = 464,141.70

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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.