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Finding the Fourth Proportional to 429,752.46, 593,093.70 and 277,108.44

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Solution

The fourth proportional to 429,752.46, 593,093.70 and 277,108.44 is: 382,432.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,752.46 : 593,093.70 = 277,108.44 : x
  2. Step 2: Convert to fraction form
    429,752.46/593,093.70 = 277,108.44/x
  3. Step 3: Cross multiply
    429,752.46x = 593,093.70 × 277,108.44
  4. Step 4: Simplify right side
    429,752.46x = 164,351,269,980.83
  5. Step 5: Solve for x
    x = 164,351,269,980.83/429,752.46
  6. Step 6: Final answer
    x = 382,432.41

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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.