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Finding the Fourth Proportional to 459,145.44, 685,246.12 and 447,188.02

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Solution

The fourth proportional to 459,145.44, 685,246.12 and 447,188.02 is: 667,400.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,145.44 : 685,246.12 = 447,188.02 : x
  2. Step 2: Convert to fraction form
    459,145.44/685,246.12 = 447,188.02/x
  3. Step 3: Cross multiply
    459,145.44x = 685,246.12 × 447,188.02
  4. Step 4: Simplify right side
    459,145.44x = 306,433,855,615.48
  5. Step 5: Solve for x
    x = 306,433,855,615.48/459,145.44
  6. Step 6: Final answer
    x = 667,400.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.