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Finding the Fourth Proportional to 447,086.82, 670,925.64 and 210,497.16

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Solution

The fourth proportional to 447,086.82, 670,925.64 and 210,497.16 is: 315,884.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,086.82 : 670,925.64 = 210,497.16 : x
  2. Step 2: Convert to fraction form
    447,086.82/670,925.64 = 210,497.16/x
  3. Step 3: Cross multiply
    447,086.82x = 670,925.64 × 210,497.16
  4. Step 4: Simplify right side
    447,086.82x = 141,227,941,791.18
  5. Step 5: Solve for x
    x = 141,227,941,791.18/447,086.82
  6. Step 6: Final answer
    x = 315,884.82

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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.