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Finding the Fourth Proportional to 503,492.88, 694,824.84 and 277,140

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Solution

The fourth proportional to 503,492.88, 694,824.84 and 277,140 is: 382,455.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,492.88 : 694,824.84 = 277,140 : x
  2. Step 2: Convert to fraction form
    503,492.88/694,824.84 = 277,140/x
  3. Step 3: Cross multiply
    503,492.88x = 694,824.84 × 277,140
  4. Step 4: Simplify right side
    503,492.88x = 192,563,756,157.60
  5. Step 5: Solve for x
    x = 192,563,756,157.60/503,492.88
  6. Step 6: Final answer
    x = 382,455.77

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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.