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Finding the Fourth Proportional to 509,505.72, 764,275.59 and 229,023.78

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Solution

The fourth proportional to 509,505.72, 764,275.59 and 229,023.78 is: 343,543.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,505.72 : 764,275.59 = 229,023.78 : x
  2. Step 2: Convert to fraction form
    509,505.72/764,275.59 = 229,023.78/x
  3. Step 3: Cross multiply
    509,505.72x = 764,275.59 × 229,023.78
  4. Step 4: Simplify right side
    509,505.72x = 175,037,284,583.53
  5. Step 5: Solve for x
    x = 175,037,284,583.53/509,505.72
  6. Step 6: Final answer
    x = 343,543.32

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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.