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Finding the Fourth Proportional to 296,632.48, 409,378.00 and 167,594.67

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Solution

The fourth proportional to 296,632.48, 409,378.00 and 167,594.67 is: 231,294.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,632.48 : 409,378.00 = 167,594.67 : x
  2. Step 2: Convert to fraction form
    296,632.48/409,378.00 = 167,594.67/x
  3. Step 3: Cross multiply
    296,632.48x = 409,378.00 × 167,594.67
  4. Step 4: Simplify right side
    296,632.48x = 68,609,569,465.56
  5. Step 5: Solve for x
    x = 68,609,569,465.56/296,632.48
  6. Step 6: Final answer
    x = 231,294.87

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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.