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Finding the Fourth Proportional to 510,214.60, 764,665.80 and 310,322.80

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Solution

The fourth proportional to 510,214.60, 764,665.80 and 310,322.80 is: 465,085.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,214.60 : 764,665.80 = 310,322.80 : x
  2. Step 2: Convert to fraction form
    510,214.60/764,665.80 = 310,322.80/x
  3. Step 3: Cross multiply
    510,214.60x = 764,665.80 × 310,322.80
  4. Step 4: Simplify right side
    510,214.60x = 237,293,232,120.24
  5. Step 5: Solve for x
    x = 237,293,232,120.24/510,214.60
  6. Step 6: Final answer
    x = 465,085.15

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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.