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Finding the Fourth Proportional to 510,201.60, 764,646.30 and 310,309.80

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Solution

The fourth proportional to 510,201.60, 764,646.30 and 310,309.80 is: 465,065.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,201.60 : 764,646.30 = 310,309.80 : x
  2. Step 2: Convert to fraction form
    510,201.60/764,646.30 = 310,309.80/x
  3. Step 3: Cross multiply
    510,201.60x = 764,646.30 × 310,309.80
  4. Step 4: Simplify right side
    510,201.60x = 237,277,240,423.74
  5. Step 5: Solve for x
    x = 237,277,240,423.74/510,201.60
  6. Step 6: Final answer
    x = 465,065.65

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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.