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Finding the Fourth Proportional to 316,546.44, 474,931.98 and 106,184.04

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Solution

The fourth proportional to 316,546.44, 474,931.98 and 106,184.04 is: 159,313.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,546.44 : 474,931.98 = 106,184.04 : x
  2. Step 2: Convert to fraction form
    316,546.44/474,931.98 = 106,184.04/x
  3. Step 3: Cross multiply
    316,546.44x = 474,931.98 × 106,184.04
  4. Step 4: Simplify right side
    316,546.44x = 50,430,196,361.60
  5. Step 5: Solve for x
    x = 50,430,196,361.60/316,546.44
  6. Step 6: Final answer
    x = 159,313.74

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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.