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Finding the Fourth Proportional to 342,401.87, 513,712.16 and 164,926.82

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Solution

The fourth proportional to 342,401.87, 513,712.16 and 164,926.82 is: 247,442.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,401.87 : 513,712.16 = 164,926.82 : x
  2. Step 2: Convert to fraction form
    342,401.87/513,712.16 = 164,926.82/x
  3. Step 3: Cross multiply
    342,401.87x = 513,712.16 × 164,926.82
  4. Step 4: Simplify right side
    342,401.87x = 84,724,909,550.94
  5. Step 5: Solve for x
    x = 84,724,909,550.94/342,401.87
  6. Step 6: Final answer
    x = 247,442.90

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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.