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Finding the Fourth Proportional to 241,465.90, 362,577.96 and 204,510.46

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Solution

The fourth proportional to 241,465.90, 362,577.96 and 204,510.46 is: 307,086.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,465.90 : 362,577.96 = 204,510.46 : x
  2. Step 2: Convert to fraction form
    241,465.90/362,577.96 = 204,510.46/x
  3. Step 3: Cross multiply
    241,465.90x = 362,577.96 × 204,510.46
  4. Step 4: Simplify right side
    241,465.90x = 74,150,985,385.46
  5. Step 5: Solve for x
    x = 74,150,985,385.46/241,465.90
  6. Step 6: Final answer
    x = 307,086.78

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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.