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Finding the Fourth Proportional to 491,427.94, 737,141.29 and 154,498

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Solution

The fourth proportional to 491,427.94, 737,141.29 and 154,498 is: 231,746.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,427.94 : 737,141.29 = 154,498 : x
  2. Step 2: Convert to fraction form
    491,427.94/737,141.29 = 154,498/x
  3. Step 3: Cross multiply
    491,427.94x = 737,141.29 × 154,498
  4. Step 4: Simplify right side
    491,427.94x = 113,886,855,022.42
  5. Step 5: Solve for x
    x = 113,886,855,022.42/491,427.94
  6. Step 6: Final answer
    x = 231,746.81

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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.