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Finding the Fourth Proportional to 383,146.38, 528,714.70 and 228,089.45

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Solution

The fourth proportional to 383,146.38, 528,714.70 and 228,089.45 is: 314,747.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,146.38 : 528,714.70 = 228,089.45 : x
  2. Step 2: Convert to fraction form
    383,146.38/528,714.70 = 228,089.45/x
  3. Step 3: Cross multiply
    383,146.38x = 528,714.70 × 228,089.45
  4. Step 4: Simplify right side
    383,146.38x = 120,594,245,129.92
  5. Step 5: Solve for x
    x = 120,594,245,129.92/383,146.38
  6. Step 6: Final answer
    x = 314,747.19

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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.