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Finding the Fourth Proportional to 477,315.15, 715,969.49 and 161,994.03

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Solution

The fourth proportional to 477,315.15, 715,969.49 and 161,994.03 is: 242,989.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,315.15 : 715,969.49 = 161,994.03 : x
  2. Step 2: Convert to fraction form
    477,315.15/715,969.49 = 161,994.03/x
  3. Step 3: Cross multiply
    477,315.15x = 715,969.49 × 161,994.03
  4. Step 4: Simplify right side
    477,315.15x = 115,982,782,232.18
  5. Step 5: Solve for x
    x = 115,982,782,232.18/477,315.15
  6. Step 6: Final answer
    x = 242,989.95

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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.