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Finding the Fourth Proportional to 468,505.82, 702,813.11 and 228,449.16

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Solution

The fourth proportional to 468,505.82, 702,813.11 and 228,449.16 is: 342,700.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,505.82 : 702,813.11 = 228,449.16 : x
  2. Step 2: Convert to fraction form
    468,505.82/702,813.11 = 228,449.16/x
  3. Step 3: Cross multiply
    468,505.82x = 702,813.11 × 228,449.16
  4. Step 4: Simplify right side
    468,505.82x = 160,557,063,474.24
  5. Step 5: Solve for x
    x = 160,557,063,474.24/468,505.82
  6. Step 6: Final answer
    x = 342,700.25

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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.