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Finding the Fourth Proportional to 554,416, 831,675.84 and 180,338.56

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Solution

The fourth proportional to 554,416, 831,675.84 and 180,338.56 is: 270,524.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,416 : 831,675.84 = 180,338.56 : x
  2. Step 2: Convert to fraction form
    554,416/831,675.84 = 180,338.56/x
  3. Step 3: Cross multiply
    554,416x = 831,675.84 × 180,338.56
  4. Step 4: Simplify right side
    554,416x = 149,983,223,372.39
  5. Step 5: Solve for x
    x = 149,983,223,372.39/554,416
  6. Step 6: Final answer
    x = 270,524.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.