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Finding the Fourth Proportional to 668,442, 1,002,794.22 and 294,465

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Solution

The fourth proportional to 668,442, 1,002,794.22 and 294,465 is: 441,755.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,442 : 1,002,794.22 = 294,465 : x
  2. Step 2: Convert to fraction form
    668,442/1,002,794.22 = 294,465/x
  3. Step 3: Cross multiply
    668,442x = 1,002,794.22 × 294,465
  4. Step 4: Simplify right side
    668,442x = 295,287,799,992.30
  5. Step 5: Solve for x
    x = 295,287,799,992.30/668,442
  6. Step 6: Final answer
    x = 441,755.31

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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.