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Finding the Fourth Proportional to 296,733.78, 409,492.67 and 160,768.67

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Solution

The fourth proportional to 296,733.78, 409,492.67 and 160,768.67 is: 221,860.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,733.78 : 409,492.67 = 160,768.67 : x
  2. Step 2: Convert to fraction form
    296,733.78/409,492.67 = 160,768.67/x
  3. Step 3: Cross multiply
    296,733.78x = 409,492.67 × 160,768.67
  4. Step 4: Simplify right side
    296,733.78x = 65,833,589,079.34
  5. Step 5: Solve for x
    x = 65,833,589,079.34/296,733.78
  6. Step 6: Final answer
    x = 221,860.78

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1.5x scale

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.