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Finding the Fourth Proportional to 384,796, 577,202.64 and 132,076

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Solution

The fourth proportional to 384,796, 577,202.64 and 132,076 is: 198,116.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,796 : 577,202.64 = 132,076 : x
  2. Step 2: Convert to fraction form
    384,796/577,202.64 = 132,076/x
  3. Step 3: Cross multiply
    384,796x = 577,202.64 × 132,076
  4. Step 4: Simplify right side
    384,796x = 76,234,615,880.64
  5. Step 5: Solve for x
    x = 76,234,615,880.64/384,796
  6. Step 6: Final answer
    x = 198,116.97

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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.