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Finding the Fourth Proportional to 296,741.84, 409,457.49 and 175,863.62

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Solution

The fourth proportional to 296,741.84, 409,457.49 and 175,863.62 is: 242,664.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,741.84 : 409,457.49 = 175,863.62 : x
  2. Step 2: Convert to fraction form
    296,741.84/409,457.49 = 175,863.62/x
  3. Step 3: Cross multiply
    296,741.84x = 409,457.49 × 175,863.62
  4. Step 4: Simplify right side
    296,741.84x = 72,008,675,187.92
  5. Step 5: Solve for x
    x = 72,008,675,187.92/296,741.84
  6. Step 6: Final answer
    x = 242,664.38

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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.