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Finding the Fourth Proportional to 339,812.64, 509,731.92 and 173,406.24

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Solution

The fourth proportional to 339,812.64, 509,731.92 and 173,406.24 is: 260,115.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,812.64 : 509,731.92 = 173,406.24 : x
  2. Step 2: Convert to fraction form
    339,812.64/509,731.92 = 173,406.24/x
  3. Step 3: Cross multiply
    339,812.64x = 509,731.92 × 173,406.24
  4. Step 4: Simplify right side
    339,812.64x = 88,390,695,655.18
  5. Step 5: Solve for x
    x = 88,390,695,655.18/339,812.64
  6. Step 6: Final answer
    x = 260,115.97

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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.