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Finding the Fourth Proportional to 509,947.60, 764,265.30 and 310,055.80

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Solution

The fourth proportional to 509,947.60, 764,265.30 and 310,055.80 is: 464,684.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,947.60 : 764,265.30 = 310,055.80 : x
  2. Step 2: Convert to fraction form
    509,947.60/764,265.30 = 310,055.80/x
  3. Step 3: Cross multiply
    509,947.60x = 764,265.30 × 310,055.80
  4. Step 4: Simplify right side
    509,947.60x = 236,964,889,003.74
  5. Step 5: Solve for x
    x = 236,964,889,003.74/509,947.60
  6. Step 6: Final answer
    x = 464,684.78

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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.