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Finding the Fourth Proportional to 342,459.54, 513,689.31 and 117,825.48

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Solution

The fourth proportional to 342,459.54, 513,689.31 and 117,825.48 is: 176,738.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,459.54 : 513,689.31 = 117,825.48 : x
  2. Step 2: Convert to fraction form
    342,459.54/513,689.31 = 117,825.48/x
  3. Step 3: Cross multiply
    342,459.54x = 513,689.31 × 117,825.48
  4. Step 4: Simplify right side
    342,459.54x = 60,525,689,521.62
  5. Step 5: Solve for x
    x = 60,525,689,521.62/342,459.54
  6. Step 6: Final answer
    x = 176,738.22

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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.