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Finding the Fourth Proportional to 491,410.94, 737,080.85 and 154,547.95

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Solution

The fourth proportional to 491,410.94, 737,080.85 and 154,547.95 is: 231,810.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,410.94 : 737,080.85 = 154,547.95 : x
  2. Step 2: Convert to fraction form
    491,410.94/737,080.85 = 154,547.95/x
  3. Step 3: Cross multiply
    491,410.94x = 737,080.85 × 154,547.95
  4. Step 4: Simplify right side
    491,410.94x = 113,914,332,895.43
  5. Step 5: Solve for x
    x = 113,914,332,895.43/491,410.94
  6. Step 6: Final answer
    x = 231,810.74

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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.