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Finding the Fourth Proportional to 469,506.19, 647,933.21 and 265,553.12

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Solution

The fourth proportional to 469,506.19, 647,933.21 and 265,553.12 is: 366,471.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,506.19 : 647,933.21 = 265,553.12 : x
  2. Step 2: Convert to fraction form
    469,506.19/647,933.21 = 265,553.12/x
  3. Step 3: Cross multiply
    469,506.19x = 647,933.21 × 265,553.12
  4. Step 4: Simplify right side
    469,506.19x = 172,060,684,139.35
  5. Step 5: Solve for x
    x = 172,060,684,139.35/469,506.19
  6. Step 6: Final answer
    x = 366,471.60

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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.