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Finding the Fourth Proportional to 416,672.76, 624,885.30 and 176,783.16

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Solution

The fourth proportional to 416,672.76, 624,885.30 and 176,783.16 is: 265,122.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,672.76 : 624,885.30 = 176,783.16 : x
  2. Step 2: Convert to fraction form
    416,672.76/624,885.30 = 176,783.16/x
  3. Step 3: Cross multiply
    416,672.76x = 624,885.30 × 176,783.16
  4. Step 4: Simplify right side
    416,672.76x = 110,469,197,971.55
  5. Step 5: Solve for x
    x = 110,469,197,971.55/416,672.76
  6. Step 6: Final answer
    x = 265,122.20

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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.