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Finding the Fourth Proportional to 296,733.66, 409,492.49 and 160,768.54

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Solution

The fourth proportional to 296,733.66, 409,492.49 and 160,768.54 is: 221,860.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,733.66 : 409,492.49 = 160,768.54 : x
  2. Step 2: Convert to fraction form
    296,733.66/409,492.49 = 160,768.54/x
  3. Step 3: Cross multiply
    296,733.66x = 409,492.49 × 160,768.54
  4. Step 4: Simplify right side
    296,733.66x = 65,833,509,758.26
  5. Step 5: Solve for x
    x = 65,833,509,758.26/296,733.66
  6. Step 6: Final answer
    x = 221,860.61

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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.