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Finding the Fourth Proportional to 294,619.88, 406,729.32 and 229,950.20

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Solution

The fourth proportional to 294,619.88, 406,729.32 and 229,950.20 is: 317,451.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,619.88 : 406,729.32 = 229,950.20 : x
  2. Step 2: Convert to fraction form
    294,619.88/406,729.32 = 229,950.20/x
  3. Step 3: Cross multiply
    294,619.88x = 406,729.32 × 229,950.20
  4. Step 4: Simplify right side
    294,619.88x = 93,527,488,479.86
  5. Step 5: Solve for x
    x = 93,527,488,479.86/294,619.88
  6. Step 6: Final answer
    x = 317,451.38

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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.