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Finding the Fourth Proportional to 509,921.10, 764,225.55 and 310,029.30

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Solution

The fourth proportional to 509,921.10, 764,225.55 and 310,029.30 is: 464,645.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,921.10 : 764,225.55 = 310,029.30 : x
  2. Step 2: Convert to fraction form
    509,921.10/764,225.55 = 310,029.30/x
  3. Step 3: Cross multiply
    509,921.10x = 764,225.55 × 310,029.30
  4. Step 4: Simplify right side
    509,921.10x = 236,932,312,308.62
  5. Step 5: Solve for x
    x = 236,932,312,308.62/509,921.10
  6. Step 6: Final answer
    x = 464,645.04

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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.