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Finding the Fourth Proportional to 315,906.68, 435,950.16 and 172,666.64

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Solution

The fourth proportional to 315,906.68, 435,950.16 and 172,666.64 is: 238,279.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,906.68 : 435,950.16 = 172,666.64 : x
  2. Step 2: Convert to fraction form
    315,906.68/435,950.16 = 172,666.64/x
  3. Step 3: Cross multiply
    315,906.68x = 435,950.16 × 172,666.64
  4. Step 4: Simplify right side
    315,906.68x = 75,274,049,334.66
  5. Step 5: Solve for x
    x = 75,274,049,334.66/315,906.68
  6. Step 6: Final answer
    x = 238,279.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.