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Finding the Fourth Proportional to 469,693, 704,669.10 and 137,269

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Solution

The fourth proportional to 469,693, 704,669.10 and 137,269 is: 205,941.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,693 : 704,669.10 = 137,269 : x
  2. Step 2: Convert to fraction form
    469,693/704,669.10 = 137,269/x
  3. Step 3: Cross multiply
    469,693x = 704,669.10 × 137,269
  4. Step 4: Simplify right side
    469,693x = 96,729,222,687.90
  5. Step 5: Solve for x
    x = 96,729,222,687.90/469,693
  6. Step 6: Final answer
    x = 205,941.38

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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.