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Finding the Fourth Proportional to 342,715.80, 472,962.57 and 189,753.98

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Solution

The fourth proportional to 342,715.80, 472,962.57 and 189,753.98 is: 261,868.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,715.80 : 472,962.57 = 189,753.98 : x
  2. Step 2: Convert to fraction form
    342,715.80/472,962.57 = 189,753.98/x
  3. Step 3: Cross multiply
    342,715.80x = 472,962.57 × 189,753.98
  4. Step 4: Simplify right side
    342,715.80x = 89,746,530,048.53
  5. Step 5: Solve for x
    x = 89,746,530,048.53/342,715.80
  6. Step 6: Final answer
    x = 261,868.67

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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.