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Finding the Fourth Proportional to 499,204.60, 748,904.10 and 214,894.60

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Solution

The fourth proportional to 499,204.60, 748,904.10 and 214,894.60 is: 322,383.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,204.60 : 748,904.10 = 214,894.60 : x
  2. Step 2: Convert to fraction form
    499,204.60/748,904.10 = 214,894.60/x
  3. Step 3: Cross multiply
    499,204.60x = 748,904.10 × 214,894.60
  4. Step 4: Simplify right side
    499,204.60x = 160,935,447,007.86
  5. Step 5: Solve for x
    x = 160,935,447,007.86/499,204.60
  6. Step 6: Final answer
    x = 322,383.74

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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.