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Finding the Fourth Proportional to 769,857.91, 1,154,198.19 and 466,185.98

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Solution

The fourth proportional to 769,857.91, 1,154,198.19 and 466,185.98 is: 698,922.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,857.91 : 1,154,198.19 = 466,185.98 : x
  2. Step 2: Convert to fraction form
    769,857.91/1,154,198.19 = 466,185.98/x
  3. Step 3: Cross multiply
    769,857.91x = 1,154,198.19 × 466,185.98
  4. Step 4: Simplify right side
    769,857.91x = 538,071,014,319.38
  5. Step 5: Solve for x
    x = 538,071,014,319.38/769,857.91
  6. Step 6: Final answer
    x = 698,922.50

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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.