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Finding the Fourth Proportional to 491,084.57, 677,780.16 and 362,690.06

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Solution

The fourth proportional to 491,084.57, 677,780.16 and 362,690.06 is: 500,573.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,084.57 : 677,780.16 = 362,690.06 : x
  2. Step 2: Convert to fraction form
    491,084.57/677,780.16 = 362,690.06/x
  3. Step 3: Cross multiply
    491,084.57x = 677,780.16 × 362,690.06
  4. Step 4: Simplify right side
    491,084.57x = 245,824,122,148.22
  5. Step 5: Solve for x
    x = 245,824,122,148.22/491,084.57
  6. Step 6: Final answer
    x = 500,573.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.