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Finding the Fourth Proportional to 384,740.64, 577,139.96 and 114,847.46

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Solution

The fourth proportional to 384,740.64, 577,139.96 and 114,847.46 is: 172,279.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,740.64 : 577,139.96 = 114,847.46 : x
  2. Step 2: Convert to fraction form
    384,740.64/577,139.96 = 114,847.46/x
  3. Step 3: Cross multiply
    384,740.64x = 577,139.96 × 114,847.46
  4. Step 4: Simplify right side
    384,740.64x = 66,283,055,010.56
  5. Step 5: Solve for x
    x = 66,283,055,010.56/384,740.64
  6. Step 6: Final answer
    x = 172,279.84

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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.