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Finding the Fourth Proportional to 447,814.92, 671,642.16 and 194,953.96

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Solution

The fourth proportional to 447,814.92, 671,642.16 and 194,953.96 is: 292,396.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,814.92 : 671,642.16 = 194,953.96 : x
  2. Step 2: Convert to fraction form
    447,814.92/671,642.16 = 194,953.96/x
  3. Step 3: Cross multiply
    447,814.92x = 671,642.16 × 194,953.96
  4. Step 4: Simplify right side
    447,814.92x = 130,939,298,794.95
  5. Step 5: Solve for x
    x = 130,939,298,794.95/447,814.92
  6. Step 6: Final answer
    x = 292,396.02

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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.