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Finding the Fourth Proportional to 451,767.20, 677,713.32 and 152,333.44

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Solution

The fourth proportional to 451,767.20, 677,713.32 and 152,333.44 is: 228,521.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,767.20 : 677,713.32 = 152,333.44 : x
  2. Step 2: Convert to fraction form
    451,767.20/677,713.32 = 152,333.44/x
  3. Step 3: Cross multiply
    451,767.20x = 677,713.32 × 152,333.44
  4. Step 4: Simplify right side
    451,767.20x = 103,238,401,369.42
  5. Step 5: Solve for x
    x = 103,238,401,369.42/451,767.20
  6. Step 6: Final answer
    x = 228,521.24

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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.