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Finding the Fourth Proportional to 299,628.84, 413,489.94 and 165,492.84

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Solution

The fourth proportional to 299,628.84, 413,489.94 and 165,492.84 is: 228,381.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,628.84 : 413,489.94 = 165,492.84 : x
  2. Step 2: Convert to fraction form
    299,628.84/413,489.94 = 165,492.84/x
  3. Step 3: Cross multiply
    299,628.84x = 413,489.94 × 165,492.84
  4. Step 4: Simplify right side
    299,628.84x = 68,429,624,482.03
  5. Step 5: Solve for x
    x = 68,429,624,482.03/299,628.84
  6. Step 6: Final answer
    x = 228,381.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.