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Finding the Fourth Proportional to 310,944.68, 429,098.62 and 174,978.55

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Solution

The fourth proportional to 310,944.68, 429,098.62 and 174,978.55 is: 241,467.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,944.68 : 429,098.62 = 174,978.55 : x
  2. Step 2: Convert to fraction form
    310,944.68/429,098.62 = 174,978.55/x
  3. Step 3: Cross multiply
    310,944.68x = 429,098.62 × 174,978.55
  4. Step 4: Simplify right side
    310,944.68x = 75,083,054,334.60
  5. Step 5: Solve for x
    x = 75,083,054,334.60/310,944.68
  6. Step 6: Final answer
    x = 241,467.56

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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.