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Finding the Fourth Proportional to 383,145.38, 528,713.32 and 228,088.45

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Solution

The fourth proportional to 383,145.38, 528,713.32 and 228,088.45 is: 314,745.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,145.38 : 528,713.32 = 228,088.45 : x
  2. Step 2: Convert to fraction form
    383,145.38/528,713.32 = 228,088.45/x
  3. Step 3: Cross multiply
    383,145.38x = 528,713.32 × 228,088.45
  4. Step 4: Simplify right side
    383,145.38x = 120,593,401,653.15
  5. Step 5: Solve for x
    x = 120,593,401,653.15/383,145.38
  6. Step 6: Final answer
    x = 314,745.81

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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.