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Finding the Fourth Proportional to 476,467.67, 714,262.88 and 206,426.14

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Solution

The fourth proportional to 476,467.67, 714,262.88 and 206,426.14 is: 309,449.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,467.67 : 714,262.88 = 206,426.14 : x
  2. Step 2: Convert to fraction form
    476,467.67/714,262.88 = 206,426.14/x
  3. Step 3: Cross multiply
    476,467.67x = 714,262.88 × 206,426.14
  4. Step 4: Simplify right side
    476,467.67x = 147,442,527,994.09
  5. Step 5: Solve for x
    x = 147,442,527,994.09/476,467.67
  6. Step 6: Final answer
    x = 309,449.17

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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.