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Finding the Fourth Proportional to 535,064.92, 738,451.14 and 305,658.52

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Solution

The fourth proportional to 535,064.92, 738,451.14 and 305,658.52 is: 421,843.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,064.92 : 738,451.14 = 305,658.52 : x
  2. Step 2: Convert to fraction form
    535,064.92/738,451.14 = 305,658.52/x
  3. Step 3: Cross multiply
    535,064.92x = 738,451.14 × 305,658.52
  4. Step 4: Simplify right side
    535,064.92x = 225,713,882,544.71
  5. Step 5: Solve for x
    x = 225,713,882,544.71/535,064.92
  6. Step 6: Final answer
    x = 421,843.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.