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Finding the Fourth Proportional to 476,807.76, 714,993.12 and 284,770.08

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Solution

The fourth proportional to 476,807.76, 714,993.12 and 284,770.08 is: 427,024.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,807.76 : 714,993.12 = 284,770.08 : x
  2. Step 2: Convert to fraction form
    476,807.76/714,993.12 = 284,770.08/x
  3. Step 3: Cross multiply
    476,807.76x = 714,993.12 × 284,770.08
  4. Step 4: Simplify right side
    476,807.76x = 203,608,647,981.85
  5. Step 5: Solve for x
    x = 203,608,647,981.85/476,807.76
  6. Step 6: Final answer
    x = 427,024.61

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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.