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Finding the Fourth Proportional to 461,616.84, 692,514.90 and 177,286.50

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Solution

The fourth proportional to 461,616.84, 692,514.90 and 177,286.50 is: 265,964.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,616.84 : 692,514.90 = 177,286.50 : x
  2. Step 2: Convert to fraction form
    461,616.84/692,514.90 = 177,286.50/x
  3. Step 3: Cross multiply
    461,616.84x = 692,514.90 × 177,286.50
  4. Step 4: Simplify right side
    461,616.84x = 122,773,542,818.85
  5. Step 5: Solve for x
    x = 122,773,542,818.85/461,616.84
  6. Step 6: Final answer
    x = 265,964.18

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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.