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Finding the Fourth Proportional to 298,892.16, 412,495.86 and 171,592.32

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Solution

The fourth proportional to 298,892.16, 412,495.86 and 171,592.32 is: 236,811.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,892.16 : 412,495.86 = 171,592.32 : x
  2. Step 2: Convert to fraction form
    298,892.16/412,495.86 = 171,592.32/x
  3. Step 3: Cross multiply
    298,892.16x = 412,495.86 × 171,592.32
  4. Step 4: Simplify right side
    298,892.16x = 70,781,121,607.80
  5. Step 5: Solve for x
    x = 70,781,121,607.80/298,892.16
  6. Step 6: Final answer
    x = 236,811.57

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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.