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Finding the Fourth Proportional to 342,256.46, 472,124.31 and 199,000.66

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Solution

The fourth proportional to 342,256.46, 472,124.31 and 199,000.66 is: 274,510.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,256.46 : 472,124.31 = 199,000.66 : x
  2. Step 2: Convert to fraction form
    342,256.46/472,124.31 = 199,000.66/x
  3. Step 3: Cross multiply
    342,256.46x = 472,124.31 × 199,000.66
  4. Step 4: Simplify right side
    342,256.46x = 93,953,049,292.04
  5. Step 5: Solve for x
    x = 93,953,049,292.04/342,256.46
  6. Step 6: Final answer
    x = 274,510.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.