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Finding the Fourth Proportional to 296,892.75, 409,737.92 and 162,782.67

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Solution

The fourth proportional to 296,892.75, 409,737.92 and 162,782.67 is: 224,654.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,892.75 : 409,737.92 = 162,782.67 : x
  2. Step 2: Convert to fraction form
    296,892.75/409,737.92 = 162,782.67/x
  3. Step 3: Cross multiply
    296,892.75x = 409,737.92 × 162,782.67
  4. Step 4: Simplify right side
    296,892.75x = 66,698,231,803.93
  5. Step 5: Solve for x
    x = 66,698,231,803.93/296,892.75
  6. Step 6: Final answer
    x = 224,654.30

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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.