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Finding the Fourth Proportional to 416,470.16, 624,962.28 and 163,706.42

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Solution

The fourth proportional to 416,470.16, 624,962.28 and 163,706.42 is: 245,660.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,470.16 : 624,962.28 = 163,706.42 : x
  2. Step 2: Convert to fraction form
    416,470.16/624,962.28 = 163,706.42/x
  3. Step 3: Cross multiply
    416,470.16x = 624,962.28 × 163,706.42
  4. Step 4: Simplify right side
    416,470.16x = 102,310,337,493.84
  5. Step 5: Solve for x
    x = 102,310,337,493.84/416,470.16
  6. Step 6: Final answer
    x = 245,660.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.