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Finding the Fourth Proportional to 349,123.77, 523,915.29 and 191,462.94

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Solution

The fourth proportional to 349,123.77, 523,915.29 and 191,462.94 is: 287,320.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,123.77 : 523,915.29 = 191,462.94 : x
  2. Step 2: Convert to fraction form
    349,123.77/523,915.29 = 191,462.94/x
  3. Step 3: Cross multiply
    349,123.77x = 523,915.29 × 191,462.94
  4. Step 4: Simplify right side
    349,123.77x = 100,310,361,734.35
  5. Step 5: Solve for x
    x = 100,310,361,734.35/349,123.77
  6. Step 6: Final answer
    x = 287,320.34

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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.